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Simplifying X(3 + -1x)(x + 5) = 0 Reorder the terms: X(3 + -1x)(5 + x) = 0 Multiply (3 + -1x) * (5 + x) X(3(5 + x) + -1x * (5 + x)) = 0 X((5 * 3 + x * 3) + -1x * (5 + x)) = 0 X((15 + 3x) + -1x * (5 + x)) = 0 X(15 + 3x + (5 * -1x + x * -1x)) = 0 X(15 + 3x + (-5x + -1x2)) = 0 Combine like terms: 3x + -5x = -2x X(15 + -2x + -1x2) = 0 (15 * X + -2x * X + -1x2 * X) = 0 (15X + -2xX + -1x2X) = 0 Solving 15X + -2xX + -1x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'X'. X(15 + -2x + -1x2) = 0 Factor a trinomial. X((3 + -1x)(5 + x)) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
X = {0}
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