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

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


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

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

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

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

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

Solving
432 = -8 + 2x + x2

Solving for variable 'x'.

Combine like terms: 432 + 8 = 440
440 + -2x + -1x2 = -8 + 2x + x2 + 8 + -2x + -1x2

Reorder the terms:
440 + -2x + -1x2 = -8 + 8 + 2x + -2x + x2 + -1x2

Combine like terms: -8 + 8 = 0
440 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
440 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
440 + -2x + -1x2 = 0 + x2 + -1x2
440 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
440 + -2x + -1x2 = 0

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


Subproblem 1
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

Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 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 + x = 0 + -22

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

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

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

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