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Simplifying cbrt(x) + cbrt(x + -16) = cbrt(x + -8) Multiply bcrt * x bcrtx + cbrt(x + -16) = cbrt(x + -8) Reorder the terms: bcrtx + bcrt(-16 + x) = cbrt(x + -8) bcrtx + (-16 * bcrt + x * bcrt) = cbrt(x + -8) bcrtx + (-16bcrt + bcrtx) = cbrt(x + -8) Reorder the terms: -16bcrt + bcrtx + bcrtx = cbrt(x + -8) Combine like terms: bcrtx + bcrtx = 2bcrtx -16bcrt + 2bcrtx = cbrt(x + -8) Reorder the terms: -16bcrt + 2bcrtx = bcrt(-8 + x) -16bcrt + 2bcrtx = (-8 * bcrt + x * bcrt) -16bcrt + 2bcrtx = (-8bcrt + bcrtx) Solving -16bcrt + 2bcrtx = -8bcrt + bcrtx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8bcrt' to each side of the equation. -16bcrt + 8bcrt + 2bcrtx = -8bcrt + 8bcrt + bcrtx Combine like terms: -16bcrt + 8bcrt = -8bcrt -8bcrt + 2bcrtx = -8bcrt + 8bcrt + bcrtx Combine like terms: -8bcrt + 8bcrt = 0 -8bcrt + 2bcrtx = 0 + bcrtx -8bcrt + 2bcrtx = bcrtx Add '-1bcrtx' to each side of the equation. -8bcrt + 2bcrtx + -1bcrtx = bcrtx + -1bcrtx Combine like terms: 2bcrtx + -1bcrtx = 1bcrtx -8bcrt + 1bcrtx = bcrtx + -1bcrtx Combine like terms: bcrtx + -1bcrtx = 0 -8bcrt + 1bcrtx = 0 Factor out the Greatest Common Factor (GCF), 'bcrt'. bcrt(-8 + x) = 0Subproblem 1
Set the factor 'bcrt' equal to zero and attempt to solve: Simplifying bcrt = 0 Solving bcrt = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bcrt = 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -1x 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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