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Simplifying cx2 + 6x = x3 + -1cx Reorder the terms: cx2 + 6x = -1cx + x3 Solving cx2 + 6x = -1cx + x3 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'cx' to each side of the equation. cx2 + cx + 6x = -1cx + cx + x3 Reorder the terms: cx + cx2 + 6x = -1cx + cx + x3 Combine like terms: -1cx + cx = 0 cx + cx2 + 6x = 0 + x3 cx + cx2 + 6x = x3 Add '-6x' to each side of the equation. cx + cx2 + 6x + -6x = -6x + x3 Combine like terms: 6x + -6x = 0 cx + cx2 + 0 = -6x + x3 cx + cx2 = -6x + x3 Reorder the terms: cx + cx2 + 6x + -1x3 = -6x + 6x + x3 + -1x3 Combine like terms: -6x + 6x = 0 cx + cx2 + 6x + -1x3 = 0 + x3 + -1x3 cx + cx2 + 6x + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 cx + cx2 + 6x + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(c + cx + 6 + -1x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(c + cx + 6 + -1x2)' equal to zero and attempt to solve: Simplifying c + cx + 6 + -1x2 = 0 Reorder the terms: 6 + c + cx + -1x2 = 0 Solving 6 + c + cx + -1x2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + c + cx + -6 + -1x2 = 0 + -6 Reorder the terms: 6 + -6 + c + cx + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + c + cx + -1x2 = 0 + -6 c + cx + -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 c + cx + -1x2 = -6 Add 'x2' to each side of the equation. c + cx + -1x2 + x2 = -6 + x2 Combine like terms: -1x2 + x2 = 0 c + cx + 0 = -6 + x2 c + cx = -6 + x2 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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