4x+3(cbrt(3x+2)(x-2))=0

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Solution for 4x+3(cbrt(3x+2)(x-2))=0 equation:


Simplifying
4x + 3(cbrt(3x + 2)(x + -2)) = 0

Reorder the terms:
4x + 3(bcrt(2 + 3x)(x + -2)) = 0

Reorder the terms:
4x + 3(bcrt(2 + 3x)(-2 + x)) = 0

Multiply (2 + 3x) * (-2 + x)
4x + 3(bcrt(2(-2 + x) + 3x * (-2 + x))) = 0
4x + 3(bcrt((-2 * 2 + x * 2) + 3x * (-2 + x))) = 0
4x + 3(bcrt((-4 + 2x) + 3x * (-2 + x))) = 0
4x + 3(bcrt(-4 + 2x + (-2 * 3x + x * 3x))) = 0
4x + 3(bcrt(-4 + 2x + (-6x + 3x2))) = 0

Combine like terms: 2x + -6x = -4x
4x + 3(bcrt(-4 + -4x + 3x2)) = 0
4x + 3((-4 * bcrt + -4x * bcrt + 3x2 * bcrt)) = 0
4x + 3((-4bcrt + -4bcrtx + 3bcrtx2)) = 0
4x + (-4bcrt * 3 + -4bcrtx * 3 + 3bcrtx2 * 3) = 0
4x + (-12bcrt + -12bcrtx + 9bcrtx2) = 0

Reorder the terms:
-12bcrt + -12bcrtx + 9bcrtx2 + 4x = 0

Solving
-12bcrt + -12bcrtx + 9bcrtx2 + 4x = 0

Solving for variable 'b'.

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

Add '-4x' to each side of the equation.
-12bcrt + -12bcrtx + 9bcrtx2 + 4x + -4x = 0 + -4x

Combine like terms: 4x + -4x = 0
-12bcrt + -12bcrtx + 9bcrtx2 + 0 = 0 + -4x
-12bcrt + -12bcrtx + 9bcrtx2 = 0 + -4x
Remove the zero:
-12bcrt + -12bcrtx + 9bcrtx2 = -4x

Combine like terms: -4x + 4x = 0
-12bcrt + -12bcrtx + 9bcrtx2 + 4x = 0

The solution to this equation could not be determined.

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