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Simplifying X2 + -5X = 10X Reorder the terms: -5X + X2 = 10X Solving -5X + X2 = 10X Solving for variable 'X'. Reorder the terms: -5X + -10X + X2 = 10X + -10X Combine like terms: -5X + -10X = -15X -15X + X2 = 10X + -10X Combine like terms: 10X + -10X = 0 -15X + X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(-15 + 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 '(-15 + X)' equal to zero and attempt to solve: Simplifying -15 + X = 0 Solving -15 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + X = 0 + 15 Combine like terms: -15 + 15 = 0 0 + X = 0 + 15 X = 0 + 15 Combine like terms: 0 + 15 = 15 X = 15 Simplifying X = 15Solution
X = {0, 15}
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