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Simplifying cbrt(x + -1) + cbrt(x + 6) = cbrt(29 + -1x) Reorder the terms: bcrt(-1 + x) + cbrt(x + 6) = cbrt(29 + -1x) (-1 * bcrt + x * bcrt) + cbrt(x + 6) = cbrt(29 + -1x) (-1bcrt + bcrtx) + cbrt(x + 6) = cbrt(29 + -1x) Reorder the terms: -1bcrt + bcrtx + bcrt(6 + x) = cbrt(29 + -1x) -1bcrt + bcrtx + (6 * bcrt + x * bcrt) = cbrt(29 + -1x) -1bcrt + bcrtx + (6bcrt + bcrtx) = cbrt(29 + -1x) Reorder the terms: -1bcrt + 6bcrt + bcrtx + bcrtx = cbrt(29 + -1x) Combine like terms: -1bcrt + 6bcrt = 5bcrt 5bcrt + bcrtx + bcrtx = cbrt(29 + -1x) Combine like terms: bcrtx + bcrtx = 2bcrtx 5bcrt + 2bcrtx = cbrt(29 + -1x) 5bcrt + 2bcrtx = (29 * bcrt + -1x * bcrt) 5bcrt + 2bcrtx = (29bcrt + -1bcrtx) Solving 5bcrt + 2bcrtx = 29bcrt + -1bcrtx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-29bcrt' to each side of the equation. 5bcrt + -29bcrt + 2bcrtx = 29bcrt + -29bcrt + -1bcrtx Combine like terms: 5bcrt + -29bcrt = -24bcrt -24bcrt + 2bcrtx = 29bcrt + -29bcrt + -1bcrtx Combine like terms: 29bcrt + -29bcrt = 0 -24bcrt + 2bcrtx = 0 + -1bcrtx -24bcrt + 2bcrtx = -1bcrtx Add 'bcrtx' to each side of the equation. -24bcrt + 2bcrtx + bcrtx = -1bcrtx + bcrtx Combine like terms: 2bcrtx + bcrtx = 3bcrtx -24bcrt + 3bcrtx = -1bcrtx + bcrtx Combine like terms: -1bcrtx + bcrtx = 0 -24bcrt + 3bcrtx = 0 Factor out the Greatest Common Factor (GCF), '3bcrt'. 3bcrt(-8 + x) = 0 Ignore the factor 3.Subproblem 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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