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1) Put everything on the left side, and factor.

2) Complete a perfect square on the left side.

3) Use the quadratic formula. If ax2 + bx + c = 0, then x = (-b plusminus squareroot(b2 - 4ac)) / 2a.

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Q: What are the three ways to solve quadratic equations?
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What are the other ways to solve quadratic equations by using the zero product property?

The phrase "other ways" implies you already have one way in mind. I regret that I am unable to read your mind to determine what that way might be!


How do you find solutions to quadratic eqations?

There are several ways to solve such equations: (1) Write the equation in the form polynomial = 0, and solve the left part (where I wrote "polynomial"). (2) Completing the square. (3) Use the quadratic formula. Method (3) is by far the most flexible, but in special cases methods (1) and (2) are faster to solve.


Why is it advantageous to know a variety of ways to solve and graph quadratic equations?

since there'll always be a time when one or two don't work. also, it's easier to check work by using another strategy


How do you find the locus of all points that lie on the graphs of both x plus 2y equals 1 and 2x -y equals 12?

You solve the two equations simultaneously. There are several ways to do it; one method is to solve the first equation for "x", then replace that in the second equation. This will give you a value for "y". After solving for "y", replace that in any of the two original equations, and solve the remaining equation for "x".You solve the two equations simultaneously. There are several ways to do it; one method is to solve the first equation for "x", then replace that in the second equation. This will give you a value for "y". After solving for "y", replace that in any of the two original equations, and solve the remaining equation for "x".You solve the two equations simultaneously. There are several ways to do it; one method is to solve the first equation for "x", then replace that in the second equation. This will give you a value for "y". After solving for "y", replace that in any of the two original equations, and solve the remaining equation for "x".You solve the two equations simultaneously. There are several ways to do it; one method is to solve the first equation for "x", then replace that in the second equation. This will give you a value for "y". After solving for "y", replace that in any of the two original equations, and solve the remaining equation for "x".


What are all the ways you can solve a quadratic equation?

First, write the equation in standard form, i.e., put zero on the right. Then, depending on the case, you may have the following options:Factor the polynomialComplete the squareUse the quadratic formula