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Simplifying X(3x + -5)(x + 2) = 0 Reorder the terms: X(-5 + 3x)(x + 2) = 0 Reorder the terms: X(-5 + 3x)(2 + x) = 0 Multiply (-5 + 3x) * (2 + x) X(-5(2 + x) + 3x * (2 + x)) = 0 X((2 * -5 + x * -5) + 3x * (2 + x)) = 0 X((-10 + -5x) + 3x * (2 + x)) = 0 X(-10 + -5x + (2 * 3x + x * 3x)) = 0 X(-10 + -5x + (6x + 3x2)) = 0 Combine like terms: -5x + 6x = 1x X(-10 + 1x + 3x2) = 0 (-10 * X + 1x * X + 3x2 * X) = 0 (-10X + 1xX + 3x2X) = 0 Solving -10X + 1xX + 3x2X = 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(-10 + x + 3x2) = 0 Factor a trinomial. X((-2 + -1x)(5 + -3x)) = 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 '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Add 'x' to each side of the equation. -1x + x = 2 + x Combine like terms: -1x + x = 0 0 = 2 + x Simplifying 0 = 2 + 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 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Add '3x' to each side of the equation. -3x + 3x = -5 + 3x Combine like terms: -3x + 3x = 0 0 = -5 + 3x Simplifying 0 = -5 + 3x 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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