(x-9)(x+5)=-45

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Solution for (x-9)(x+5)=-45 equation: 


Simplifying
(x + -9)(x + 5) = -45

Reorder the terms:
(-9 + x)(x + 5) = -45

Reorder the terms:
(-9 + x)(5 + x) = -45

Multiply (-9 + x) * (5 + x)
(-9(5 + x) + x(5 + x)) = -45
((5 * -9 + x * -9) + x(5 + x)) = -45
((-45 + -9x) + x(5 + x)) = -45
(-45 + -9x + (5 * x + x * x)) = -45
(-45 + -9x + (5x + x2)) = -45

Combine like terms: -9x + 5x = -4x
(-45 + -4x + x2) = -45

Add '45' to each side of the equation.
-45 + -4x + 45 + x2 = -45 + 45

Reorder the terms:
-45 + 45 + -4x + x2 = -45 + 45

Combine like terms: -45 + 45 = 0
0 + -4x + x2 = -45 + 45
-4x + x2 = -45 + 45

Combine like terms: -45 + 45 = 0
-4x + x2 = 0

Solving
-4x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Solution
x = {0, 4}

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