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The answer depends on the form of the equation and the domain.

For example,

  • there is no solution for x + 2 = 0 if the domain is positive integers, but there is if x can be a negative integer.
  • there is no solution for 2x = 1 for integer x but there is if x can be a rational number.
  • there is no solution for x^2 = 2 for rational x but there is if x can be an irrational number.
  • there is no real solution for x^2 = -2 for real x there is if x can be a complex number.

There are many other equations in one variable for which cannot be solved.

However, for simple equations, you may get a solution by making the same changes to both sides of the equation (with some exceptions, like division by zero, or taking square roots, etc) until you rename one side as the variable.

For example, to solve

(2x + 3)/5 = 9

Multiply both sides by 5: 2x + 3 = 45

Subtract 3 from both sides: 2x = 42

Divide both sides by 2: x = 21.

Solution of inequalities is the same except that if you multiply or divide by a negative number then the inequality changes direction.

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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: How can you solve an equation or inequality in one variable?
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What must be done get a variable alone on one side of an equation or inequality in order to solve the equation or inequality the answeranswer has eighteen letters with s being the second?

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