x^2+8x+16=x^2-14x+5

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Solution for x^2+8x+16=x^2-14x+5 equation:


Simplifying
x2 + 8x + 16 = x2 + -14x + 5

Reorder the terms:
16 + 8x + x2 = x2 + -14x + 5

Reorder the terms:
16 + 8x + x2 = 5 + -14x + x2

Add '-1x2' to each side of the equation.
16 + 8x + x2 + -1x2 = 5 + -14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + 0 = 5 + -14x + x2 + -1x2
16 + 8x = 5 + -14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x = 5 + -14x + 0
16 + 8x = 5 + -14x

Solving
16 + 8x = 5 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
16 + 8x + 14x = 5 + -14x + 14x

Combine like terms: 8x + 14x = 22x
16 + 22x = 5 + -14x + 14x

Combine like terms: -14x + 14x = 0
16 + 22x = 5 + 0
16 + 22x = 5

Add '-16' to each side of the equation.
16 + -16 + 22x = 5 + -16

Combine like terms: 16 + -16 = 0
0 + 22x = 5 + -16
22x = 5 + -16

Combine like terms: 5 + -16 = -11
22x = -11

Divide each side by '22'.
x = -0.5

Simplifying
x = -0.5

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