(x-9)(x+2)=-18

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Solution for (x-9)(x+2)=-18 equation: 


Simplifying
(x + -9)(x + 2) = -18

Reorder the terms:
(-9 + x)(x + 2) = -18

Reorder the terms:
(-9 + x)(2 + x) = -18

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

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

Add '18' to each side of the equation.
-18 + -7x + 18 + x2 = -18 + 18

Reorder the terms:
-18 + 18 + -7x + x2 = -18 + 18

Combine like terms: -18 + 18 = 0
0 + -7x + x2 = -18 + 18
-7x + x2 = -18 + 18

Combine like terms: -18 + 18 = 0
-7x + x2 = 0

Solving
-7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-7 + x)' equal to zero and attempt to solve:

Simplifying
-7 + x = 0

Solving
-7 + x = 0

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

Add '7' to each side of the equation.
-7 + 7 + x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + x = 0 + 7
x = 0 + 7

Combine like terms: 0 + 7 = 7
x = 7

Simplifying
x = 7
Solution
x = {0, 7}

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