8x^2+64x=x

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Solution for 8x^2+64x=x equation:


Simplifying
8x2 + 64x = x

Reorder the terms:
64x + 8x2 = x

Solving
64x + 8x2 = x

Solving for variable 'x'.

Reorder the terms:
64x + -1x + 8x2 = x + -1x

Combine like terms: 64x + -1x = 63x
63x + 8x2 = x + -1x

Combine like terms: x + -1x = 0
63x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(63 + 8x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(63 + 8x)' equal to zero and attempt to solve: Simplifying 63 + 8x = 0 Solving 63 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 8x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 8x = 0 + -63 8x = 0 + -63 Combine like terms: 0 + -63 = -63 8x = -63 Divide each side by '8'. x = -7.875 Simplifying x = -7.875

Solution

x = {0, -7.875}

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