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Simplifying (6x + -1) * cmx(4x + 6) * cm = 0 Reorder the terms: (-1 + 6x) * cmx(4x + 6) * cm = 0 Reorder the terms: (-1 + 6x) * cmx(6 + 4x) * cm = 0 Reorder the terms for easier multiplication: cmx * cm(-1 + 6x)(6 + 4x) = 0 Multiply cmx * cm c2m2x(-1 + 6x)(6 + 4x) = 0 Multiply (-1 + 6x) * (6 + 4x) c2m2x(-1(6 + 4x) + 6x * (6 + 4x)) = 0 c2m2x((6 * -1 + 4x * -1) + 6x * (6 + 4x)) = 0 c2m2x((-6 + -4x) + 6x * (6 + 4x)) = 0 c2m2x(-6 + -4x + (6 * 6x + 4x * 6x)) = 0 c2m2x(-6 + -4x + (36x + 24x2)) = 0 Combine like terms: -4x + 36x = 32x c2m2x(-6 + 32x + 24x2) = 0 (-6 * c2m2x + 32x * c2m2x + 24x2 * c2m2x) = 0 (-6c2m2x + 32c2m2x2 + 24c2m2x3) = 0 Solving -6c2m2x + 32c2m2x2 + 24c2m2x3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2c2m2x'. 2c2m2x(-3 + 16x + 12x2) = 0 Factor a trinomial. 2c2m2x((-3 + -2x)(1 + -6x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'c2m2x' equal to zero and attempt to solve: Simplifying c2m2x = 0 Solving c2m2x = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2m2x = 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 '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Add '2x' to each side of the equation. -2x + 2x = 3 + 2x Combine like terms: -2x + 2x = 0 0 = 3 + 2x Simplifying 0 = 3 + 2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Add '6x' to each side of the equation. -6x + 6x = -1 + 6x Combine like terms: -6x + 6x = 0 0 = -1 + 6x Simplifying 0 = -1 + 6x 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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