(x+4)(x-4)=(x+28)(x-12)

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Solution for (x+4)(x-4)=(x+28)(x-12) equation: 


Simplifying
(x + 4)(x + -4) = (x + 28)(x + -12)

Reorder the terms:
(4 + x)(x + -4) = (x + 28)(x + -12)

Reorder the terms:
(4 + x)(-4 + x) = (x + 28)(x + -12)

Multiply (4 + x) * (-4 + x)
(4(-4 + x) + x(-4 + x)) = (x + 28)(x + -12)
((-4 * 4 + x * 4) + x(-4 + x)) = (x + 28)(x + -12)
((-16 + 4x) + x(-4 + x)) = (x + 28)(x + -12)
(-16 + 4x + (-4 * x + x * x)) = (x + 28)(x + -12)
(-16 + 4x + (-4x + x2)) = (x + 28)(x + -12)

Combine like terms: 4x + -4x = 0
(-16 + 0 + x2) = (x + 28)(x + -12)
(-16 + x2) = (x + 28)(x + -12)

Reorder the terms:
-16 + x2 = (28 + x)(x + -12)

Reorder the terms:
-16 + x2 = (28 + x)(-12 + x)

Multiply (28 + x) * (-12 + x)
-16 + x2 = (28(-12 + x) + x(-12 + x))
-16 + x2 = ((-12 * 28 + x * 28) + x(-12 + x))
-16 + x2 = ((-336 + 28x) + x(-12 + x))
-16 + x2 = (-336 + 28x + (-12 * x + x * x))
-16 + x2 = (-336 + 28x + (-12x + x2))

Combine like terms: 28x + -12x = 16x
-16 + x2 = (-336 + 16x + x2)

Add '-1x2' to each side of the equation.
-16 + x2 + -1x2 = -336 + 16x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 0 = -336 + 16x + x2 + -1x2
-16 = -336 + 16x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 = -336 + 16x + 0
-16 = -336 + 16x

Solving
-16 = -336 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-16 + -16x = -336 + 16x + -16x

Combine like terms: 16x + -16x = 0
-16 + -16x = -336 + 0
-16 + -16x = -336

Add '16' to each side of the equation.
-16 + 16 + -16x = -336 + 16

Combine like terms: -16 + 16 = 0
0 + -16x = -336 + 16
-16x = -336 + 16

Combine like terms: -336 + 16 = -320
-16x = -320

Divide each side by '-16'.
x = 20

Simplifying
x = 20

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