CUBERT(2w+3)=CUBERT(w-2)

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Solution for CUBERT(2w+3)=CUBERT(w-2) equation:


Simplifying
CUBERT(2w + 3) = CUBERT(w + -2)

Reorder the terms:
BCERTU(3 + 2w) = CUBERT(w + -2)
(3 * BCERTU + 2w * BCERTU) = CUBERT(w + -2)
(3BCERTU + 2wBCERTU) = CUBERT(w + -2)

Reorder the terms:
3BCERTU + 2wBCERTU = BCERTU(-2 + w)
3BCERTU + 2wBCERTU = (-2 * BCERTU + w * BCERTU)
3BCERTU + 2wBCERTU = (-2BCERTU + wBCERTU)

Solving
3BCERTU + 2wBCERTU = -2BCERTU + wBCERTU

Solving for variable 'B'.

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

Add '2BCERTU' to each side of the equation.
3BCERTU + 2BCERTU + 2wBCERTU = -2BCERTU + 2BCERTU + wBCERTU

Combine like terms: 3BCERTU + 2BCERTU = 5BCERTU
5BCERTU + 2wBCERTU = -2BCERTU + 2BCERTU + wBCERTU

Combine like terms: -2BCERTU + 2BCERTU = 0
5BCERTU + 2wBCERTU = 0 + wBCERTU
5BCERTU + 2wBCERTU = wBCERTU

Add '-1wBCERTU' to each side of the equation.
5BCERTU + 2wBCERTU + -1wBCERTU = wBCERTU + -1wBCERTU

Combine like terms: 2wBCERTU + -1wBCERTU = 1wBCERTU
5BCERTU + 1wBCERTU = wBCERTU + -1wBCERTU

Combine like terms: wBCERTU + -1wBCERTU = 0
5BCERTU + 1wBCERTU = 0

Factor out the Greatest Common Factor (GCF), 'BCERTU'.
BCERTU(5 + w) = 0

Subproblem 1

Set the factor 'BCERTU' equal to zero and attempt to solve: Simplifying BCERTU = 0 Solving BCERTU = 0 Move all terms containing B to the left, all other terms to the right. Simplifying BCERTU = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing B to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Add '-1w' to each side of the equation. w + -1w = -5 + -1w Combine like terms: w + -1w = 0 0 = -5 + -1w Simplifying 0 = -5 + -1w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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