x^2+8x+16=x^2+4x+4+84

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Solution for x^2+8x+16=x^2+4x+4+84 equation:


Simplifying
x2 + 8x + 16 = x2 + 4x + 4 + 84

Reorder the terms:
16 + 8x + x2 = x2 + 4x + 4 + 84

Reorder the terms:
16 + 8x + x2 = 4 + 84 + 4x + x2

Combine like terms: 4 + 84 = 88
16 + 8x + x2 = 88 + 4x + x2

Add '-1x2' to each side of the equation.
16 + 8x + x2 + -1x2 = 88 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + 0 = 88 + 4x + x2 + -1x2
16 + 8x = 88 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x = 88 + 4x + 0
16 + 8x = 88 + 4x

Solving
16 + 8x = 88 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 8x + -4x = 88 + 4x + -4x

Combine like terms: 8x + -4x = 4x
16 + 4x = 88 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 4x = 88 + 0
16 + 4x = 88

Add '-16' to each side of the equation.
16 + -16 + 4x = 88 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 88 + -16
4x = 88 + -16

Combine like terms: 88 + -16 = 72
4x = 72

Divide each side by '4'.
x = 18

Simplifying
x = 18

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