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Simplifying x(2c + 4)(x + -3) = 0 Reorder the terms: x(4 + 2c)(x + -3) = 0 Reorder the terms: x(4 + 2c)(-3 + x) = 0 Multiply (4 + 2c) * (-3 + x) x(4(-3 + x) + 2c * (-3 + x)) = 0 x((-3 * 4 + x * 4) + 2c * (-3 + x)) = 0 x((-12 + 4x) + 2c * (-3 + x)) = 0 x(-12 + 4x + (-3 * 2c + x * 2c)) = 0 x(-12 + 4x + (-6c + 2cx)) = 0 Reorder the terms: x(-12 + -6c + 2cx + 4x) = 0 x(-12 + -6c + 2cx + 4x) = 0 (-12 * x + -6c * x + 2cx * x + 4x * x) = 0 Reorder the terms: (-6cx + 2cx2 + -12x + 4x2) = 0 (-6cx + 2cx2 + -12x + 4x2) = 0 Solving -6cx + 2cx2 + -12x + 4x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12x' to each side of the equation. -6cx + 2cx2 + -12x + 12x + 4x2 = 0 + 12x Combine like terms: -12x + 12x = 0 -6cx + 2cx2 + 0 + 4x2 = 0 + 12x -6cx + 2cx2 + 4x2 = 0 + 12x Remove the zero: -6cx + 2cx2 + 4x2 = 12x Add '-4x2' to each side of the equation. -6cx + 2cx2 + 4x2 + -4x2 = 12x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6cx + 2cx2 + 0 = 12x + -4x2 -6cx + 2cx2 = 12x + -4x2 Reorder the terms: -6cx + 2cx2 + -12x + 4x2 = 12x + -12x + -4x2 + 4x2 Combine like terms: 12x + -12x = 0 -6cx + 2cx2 + -12x + 4x2 = 0 + -4x2 + 4x2 -6cx + 2cx2 + -12x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -6cx + 2cx2 + -12x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3c + cx + -6 + 2x) = 0 Ignore the factor 2.Subproblem 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 '(-3c + cx + -6 + 2x)' equal to zero and attempt to solve: Simplifying -3c + cx + -6 + 2x = 0 Reorder the terms: -6 + -3c + cx + 2x = 0 Solving -6 + -3c + cx + 2x = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -3c + cx + 6 + 2x = 0 + 6 Reorder the terms: -6 + 6 + -3c + cx + 2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3c + cx + 2x = 0 + 6 -3c + cx + 2x = 0 + 6 Combine like terms: 0 + 6 = 6 -3c + cx + 2x = 6 Add '-2x' to each side of the equation. -3c + cx + 2x + -2x = 6 + -2x Combine like terms: 2x + -2x = 0 -3c + cx + 0 = 6 + -2x -3c + cx = 6 + -2x 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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