Addition and subtraction property of equality
Multiplication and division property of equality
Distributive property of multiplication over addition
Also,
Identity property of multiplication
Zero property of addition and subtraction.
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Sure. You can always 'solve for' a variable, and if it happens to be the only variable in the equation, than that's how you solve the equation.
You cannot solve an expression. You need an equation or inequality.You cannot solve an expression. You need an equation or inequality.You cannot solve an expression. You need an equation or inequality.You cannot solve an expression. You need an equation or inequality.
Solve by factoring. Solve by taking the square root of both sides.
when you find the value, you SOLVED the equation. you CHECK the equation when you substitute the value in the variables place and check that the equation is true.
Not sure what you mean by "zero element". If an expression is equal to zero, and you can factor it, then at least one of the factors must be zero; this is often useful to solve an equation.