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Simplifying x3(cx + 3c + 5x + 15) = 0 Reorder the terms: x3(15 + 3c + cx + 5x) = 0 (15 * x3 + 3c * x3 + cx * x3 + 5x * x3) = 0 Reorder the terms: (3cx3 + cx4 + 15x3 + 5x4) = 0 (3cx3 + cx4 + 15x3 + 5x4) = 0 Solving 3cx3 + cx4 + 15x3 + 5x4 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15x3' to each side of the equation. 3cx3 + cx4 + 15x3 + -15x3 + 5x4 = 0 + -15x3 Combine like terms: 15x3 + -15x3 = 0 3cx3 + cx4 + 0 + 5x4 = 0 + -15x3 3cx3 + cx4 + 5x4 = 0 + -15x3 Remove the zero: 3cx3 + cx4 + 5x4 = -15x3 Add '-5x4' to each side of the equation. 3cx3 + cx4 + 5x4 + -5x4 = -15x3 + -5x4 Combine like terms: 5x4 + -5x4 = 0 3cx3 + cx4 + 0 = -15x3 + -5x4 3cx3 + cx4 = -15x3 + -5x4 Reorder the terms: 3cx3 + cx4 + 15x3 + 5x4 = -15x3 + 15x3 + -5x4 + 5x4 Combine like terms: -15x3 + 15x3 = 0 3cx3 + cx4 + 15x3 + 5x4 = 0 + -5x4 + 5x4 3cx3 + cx4 + 15x3 + 5x4 = -5x4 + 5x4 Combine like terms: -5x4 + 5x4 = 0 3cx3 + cx4 + 15x3 + 5x4 = 0 Factor out the Greatest Common Factor (GCF), 'x3'. x3(3c + cx + 15 + 5x) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x3' to each side of the equation. x3 + -1x3 = 0 + -1x3 Remove the zero: 0 = -1x3 Simplifying 0 = -1x3 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 + 15 + 5x)' equal to zero and attempt to solve: Simplifying 3c + cx + 15 + 5x = 0 Reorder the terms: 15 + 3c + cx + 5x = 0 Solving 15 + 3c + cx + 5x = 0 Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3c + cx + -15 + 5x = 0 + -15 Reorder the terms: 15 + -15 + 3c + cx + 5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3c + cx + 5x = 0 + -15 3c + cx + 5x = 0 + -15 Combine like terms: 0 + -15 = -15 3c + cx + 5x = -15 Add '-5x' to each side of the equation. 3c + cx + 5x + -5x = -15 + -5x Combine like terms: 5x + -5x = 0 3c + cx + 0 = -15 + -5x 3c + cx = -15 + -5x 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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