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Simplifying X(x + -5)(x + 3) = 0 Reorder the terms: X(-5 + x)(x + 3) = 0 Reorder the terms: X(-5 + x)(3 + x) = 0 Multiply (-5 + x) * (3 + x) X(-5(3 + x) + x(3 + x)) = 0 X((3 * -5 + x * -5) + x(3 + x)) = 0 X((-15 + -5x) + x(3 + x)) = 0 X(-15 + -5x + (3 * x + x * x)) = 0 X(-15 + -5x + (3x + x2)) = 0 Combine like terms: -5x + 3x = -2x X(-15 + -2x + x2) = 0 (-15 * X + -2x * X + x2 * X) = 0 (-15X + -2xX + x2X) = 0 Solving -15X + -2xX + x2X = 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 + x2) = 0 Factor a trinomial. X((-3 + -1x)(5 + -1x)) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + x 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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