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Simplifying X(x2 + -15x + 24) = 0 Reorder the terms: X(24 + -15x + x2) = 0 (24 * X + -15x * X + x2 * X) = 0 (24X + -15xX + x2X) = 0 Solving 24X + -15xX + 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(24 + -15x + x2) = 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 '(24 + -15x + x2)' equal to zero and attempt to solve: Simplifying 24 + -15x + x2 = 0 Solving 24 + -15x + x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -15x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -15x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -15x + x2 = 0 + -24 -15x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -15x + x2 = -24 Add '15x' to each side of the equation. -15x + 15x + x2 = -24 + 15x Combine like terms: -15x + 15x = 0 0 + x2 = -24 + 15x x2 = -24 + 15x Add '-1x2' to each side of the equation. x2 + -1x2 = -24 + 15x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -24 + 15x + -1x2 Simplifying 0 = -24 + 15x + -1x2 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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