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Simplifying 4c(x + -3) = -2(6 + -2x) Reorder the terms: 4c(-3 + x) = -2(6 + -2x) (-3 * 4c + x * 4c) = -2(6 + -2x) (-12c + 4cx) = -2(6 + -2x) -12c + 4cx = (6 * -2 + -2x * -2) -12c + 4cx = (-12 + 4x) Solving -12c + 4cx = -12 + 4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: 12 + -12c + 4cx + -4x = -12 + 4x + 12 + -4x Reorder the terms: 12 + -12c + 4cx + -4x = -12 + 12 + 4x + -4x Combine like terms: -12 + 12 = 0 12 + -12c + 4cx + -4x = 0 + 4x + -4x 12 + -12c + 4cx + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 12 + -12c + 4cx + -4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -3c + cx + -1x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -3c + cx + -1x)' equal to zero and attempt to solve: Simplifying 3 + -3c + cx + -1x = 0 Solving 3 + -3c + cx + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3c + cx + -3 + -1x = 0 + -3 Reorder the terms: 3 + -3 + -3c + cx + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3c + cx + -1x = 0 + -3 -3c + cx + -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -3c + cx + -1x = -3 Add 'x' to each side of the equation. -3c + cx + -1x + x = -3 + x Combine like terms: -1x + x = 0 -3c + cx + 0 = -3 + x -3c + cx = -3 + x 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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