x^2+4x=4(x+16)

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Solution for x^2+4x=4(x+16) equation: 


Simplifying
x2 + 4x = 4(x + 16)

Reorder the terms:
4x + x2 = 4(x + 16)

Reorder the terms:
4x + x2 = 4(16 + x)
4x + x2 = (16 * 4 + x * 4)
4x + x2 = (64 + 4x)

Add '-4x' to each side of the equation.
4x + -4x + x2 = 64 + 4x + -4x

Combine like terms: 4x + -4x = 0
0 + x2 = 64 + 4x + -4x
x2 = 64 + 4x + -4x

Combine like terms: 4x + -4x = 0
x2 = 64 + 0
x2 = 64

Solving
x2 = 64

Solving for variable 'x'.

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

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}

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