x*x=16+(x+-4)(x+2)

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


Simplifying
x * x = 16 + (x + -4)(x + 2)

Multiply x * x
x2 = 16 + (x + -4)(x + 2)

Reorder the terms:
x2 = 16 + (-4 + x)(x + 2)

Reorder the terms:
x2 = 16 + (-4 + x)(2 + x)

Multiply (-4 + x) * (2 + x)
x2 = 16 + (-4(2 + x) + x(2 + x))
x2 = 16 + ((2 * -4 + x * -4) + x(2 + x))
x2 = 16 + ((-8 + -4x) + x(2 + x))
x2 = 16 + (-8 + -4x + (2 * x + x * x))
x2 = 16 + (-8 + -4x + (2x + x2))

Combine like terms: -4x + 2x = -2x
x2 = 16 + (-8 + -2x + x2)

Combine like terms: 16 + -8 = 8
x2 = 8 + -2x + x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = 8 + -2x + x2 + -1x2

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

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

Solving
0 = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
0 + 2x = 8 + -2x + 2x
Remove the zero:
2x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
2x = 8 + 0
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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