(x-9)(x+2)=

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Solution for (x-9)(x+2)= equation: 


Simplifying
(x + -9)(x + 2) = 0

Reorder the terms:
(-9 + x)(x + 2) = 0

Reorder the terms:
(-9 + x)(2 + x) = 0

Multiply (-9 + x) * (2 + x)
(-9(2 + x) + x(2 + x)) = 0
((2 * -9 + x * -9) + x(2 + x)) = 0
((-18 + -9x) + x(2 + x)) = 0
(-18 + -9x + (2 * x + x * x)) = 0
(-18 + -9x + (2x + x2)) = 0

Combine like terms: -9x + 2x = -7x
(-18 + -7x + x2) = 0

Solving
-18 + -7x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-2, 9}

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