x(x+4)+28=(x-1)(x+8)

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Solution for x(x+4)+28=(x-1)(x+8) equation: 


Simplifying
x(x + 4) + 28 = (x + -1)(x + 8)

Reorder the terms:
x(4 + x) + 28 = (x + -1)(x + 8)
(4 * x + x * x) + 28 = (x + -1)(x + 8)
(4x + x2) + 28 = (x + -1)(x + 8)

Reorder the terms:
28 + 4x + x2 = (x + -1)(x + 8)

Reorder the terms:
28 + 4x + x2 = (-1 + x)(x + 8)

Reorder the terms:
28 + 4x + x2 = (-1 + x)(8 + x)

Multiply (-1 + x) * (8 + x)
28 + 4x + x2 = (-1(8 + x) + x(8 + x))
28 + 4x + x2 = ((8 * -1 + x * -1) + x(8 + x))
28 + 4x + x2 = ((-8 + -1x) + x(8 + x))
28 + 4x + x2 = (-8 + -1x + (8 * x + x * x))
28 + 4x + x2 = (-8 + -1x + (8x + x2))

Combine like terms: -1x + 8x = 7x
28 + 4x + x2 = (-8 + 7x + x2)

Add '-1x2' to each side of the equation.
28 + 4x + x2 + -1x2 = -8 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + 4x + 0 = -8 + 7x + x2 + -1x2
28 + 4x = -8 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + 4x = -8 + 7x + 0
28 + 4x = -8 + 7x

Solving
28 + 4x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
28 + 4x + -7x = -8 + 7x + -7x

Combine like terms: 4x + -7x = -3x
28 + -3x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + -3x = -8 + 0
28 + -3x = -8

Add '-28' to each side of the equation.
28 + -28 + -3x = -8 + -28

Combine like terms: 28 + -28 = 0
0 + -3x = -8 + -28
-3x = -8 + -28

Combine like terms: -8 + -28 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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