x^2+64+8x=9(x-8)

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Solution for x^2+64+8x=9(x-8) equation:


Simplifying
x2 + 64 + 8x = 9(x + -8)

Reorder the terms:
64 + 8x + x2 = 9(x + -8)

Reorder the terms:
64 + 8x + x2 = 9(-8 + x)
64 + 8x + x2 = (-8 * 9 + x * 9)
64 + 8x + x2 = (-72 + 9x)

Solving
64 + 8x + x2 = -72 + 9x

Solving for variable 'x'.

Reorder the terms:
64 + 72 + 8x + -9x + x2 = -72 + 9x + 72 + -9x

Combine like terms: 64 + 72 = 136
136 + 8x + -9x + x2 = -72 + 9x + 72 + -9x

Combine like terms: 8x + -9x = -1x
136 + -1x + x2 = -72 + 9x + 72 + -9x

Reorder the terms:
136 + -1x + x2 = -72 + 72 + 9x + -9x

Combine like terms: -72 + 72 = 0
136 + -1x + x2 = 0 + 9x + -9x
136 + -1x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
136 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-136' to each side of the equation.
136 + -1x + -136 + x2 = 0 + -136

Reorder the terms:
136 + -136 + -1x + x2 = 0 + -136

Combine like terms: 136 + -136 = 0
0 + -1x + x2 = 0 + -136
-1x + x2 = 0 + -136

Combine like terms: 0 + -136 = -136
-1x + x2 = -136

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -136 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -136 + 0.25

Combine like terms: -136 + 0.25 = -135.75
0.25 + -1x + x2 = -135.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -135.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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