x^3+8h^2+12x-64=0

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Solution for x^3+8h^2+12x-64=0 equation:


Simplifying
x3 + 8h2 + 12x + -64 = 0

Reorder the terms:
-64 + 8h2 + 12x + x3 = 0

Solving
-64 + 8h2 + 12x + x3 = 0

Solving for variable 'h'.

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

Add '64' to each side of the equation.
-64 + 8h2 + 12x + 64 + x3 = 0 + 64

Reorder the terms:
-64 + 64 + 8h2 + 12x + x3 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 8h2 + 12x + x3 = 0 + 64
8h2 + 12x + x3 = 0 + 64

Combine like terms: 0 + 64 = 64
8h2 + 12x + x3 = 64

Add '-12x' to each side of the equation.
8h2 + 12x + -12x + x3 = 64 + -12x

Combine like terms: 12x + -12x = 0
8h2 + 0 + x3 = 64 + -12x
8h2 + x3 = 64 + -12x

Add '-1x3' to each side of the equation.
8h2 + x3 + -1x3 = 64 + -12x + -1x3

Combine like terms: x3 + -1x3 = 0
8h2 + 0 = 64 + -12x + -1x3
8h2 = 64 + -12x + -1x3

Divide each side by '8'.
h2 = 8 + -1.5x + -0.125x3

Simplifying
h2 = 8 + -1.5x + -0.125x3

Reorder the terms:
-8 + h2 + 1.5x + 0.125x3 = 8 + -1.5x + -0.125x3 + -8 + 1.5x + 0.125x3

Reorder the terms:
-8 + h2 + 1.5x + 0.125x3 = 8 + -8 + -1.5x + 1.5x + -0.125x3 + 0.125x3

Combine like terms: 8 + -8 = 0
-8 + h2 + 1.5x + 0.125x3 = 0 + -1.5x + 1.5x + -0.125x3 + 0.125x3
-8 + h2 + 1.5x + 0.125x3 = -1.5x + 1.5x + -0.125x3 + 0.125x3

Combine like terms: -1.5x + 1.5x = 0.0
-8 + h2 + 1.5x + 0.125x3 = 0.0 + -0.125x3 + 0.125x3
-8 + h2 + 1.5x + 0.125x3 = -0.125x3 + 0.125x3

Combine like terms: -0.125x3 + 0.125x3 = 0.000
-8 + h2 + 1.5x + 0.125x3 = 0.000

The solution to this equation could not be determined.

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