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Simplifying x2 + -8x * 15 = 0 Reorder the terms for easier multiplication: x2 + -8 * 15x = 0 Multiply -8 * 15 x2 + -120x = 0 Reorder the terms: -120x + x2 = 0 Solving -120x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-120 + 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 '(-120 + x)' equal to zero and attempt to solve: Simplifying -120 + x = 0 Solving -120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + x = 0 + 120 x = 0 + 120 Combine like terms: 0 + 120 = 120 x = 120 Simplifying x = 120Solution
x = {0, 120}
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