(x-2)(x+4)=432

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Solution for (x-2)(x+4)=432 equation: 


Simplifying
(x + -2)(x + 4) = 432

Reorder the terms:
(-2 + x)(x + 4) = 432

Reorder the terms:
(-2 + x)(4 + x) = 432

Multiply (-2 + x) * (4 + x)
(-2(4 + x) + x(4 + x)) = 432
((4 * -2 + x * -2) + x(4 + x)) = 432
((-8 + -2x) + x(4 + x)) = 432
(-8 + -2x + (4 * x + x * x)) = 432
(-8 + -2x + (4x + x2)) = 432

Combine like terms: -2x + 4x = 2x
(-8 + 2x + x2) = 432

Solving
-8 + 2x + x2 = 432

Solving for variable 'x'.

Reorder the terms:
-8 + -432 + 2x + x2 = 432 + -432

Combine like terms: -8 + -432 = -440
-440 + 2x + x2 = 432 + -432

Combine like terms: 432 + -432 = 0
-440 + 2x + x2 = 0

Factor a trinomial.
(-22 + -1x)(20 + -1x) = 0


Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve:

Simplifying
-22 + -1x = 0

Solving
-22 + -1x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 0 + 22
-1x = 0 + 22

Combine like terms: 0 + 22 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-22, 20}

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