x^3-abs(4x^2-4x)=16

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Solution for x^3-abs(4x^2-4x)=16 equation:


Simplifying
x3 + -1abs(4x2 + -4x) = 16

Reorder the terms:
x3 + -1abs(-4x + 4x2) = 16
x3 + (-4x * -1abs + 4x2 * -1abs) = 16
x3 + (4absx + -4absx2) = 16

Reorder the terms:
4absx + -4absx2 + x3 = 16

Solving
4absx + -4absx2 + x3 = 16

Solving for variable 'a'.

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

Add '-1x3' to each side of the equation.
4absx + -4absx2 + x3 + -1x3 = 16 + -1x3

Combine like terms: x3 + -1x3 = 0
4absx + -4absx2 + 0 = 16 + -1x3
4absx + -4absx2 = 16 + -1x3

Reorder the terms:
-16 + 4absx + -4absx2 + x3 = 16 + -1x3 + -16 + x3

Reorder the terms:
-16 + 4absx + -4absx2 + x3 = 16 + -16 + -1x3 + x3

Combine like terms: 16 + -16 = 0
-16 + 4absx + -4absx2 + x3 = 0 + -1x3 + x3
-16 + 4absx + -4absx2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-16 + 4absx + -4absx2 + x3 = 0

The solution to this equation could not be determined.

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