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Simplifying x2 + -15x = -11x + 16x + -1x2 Reorder the terms: -15x + x2 = -11x + 16x + -1x2 Combine like terms: -11x + 16x = 5x -15x + x2 = 5x + -1x2 Solving -15x + x2 = 5x + -1x2 Solving for variable 'x'. Reorder the terms: -15x + -5x + x2 + x2 = 5x + -1x2 + -5x + x2 Combine like terms: -15x + -5x = -20x -20x + x2 + x2 = 5x + -1x2 + -5x + x2 Combine like terms: x2 + x2 = 2x2 -20x + 2x2 = 5x + -1x2 + -5x + x2 Reorder the terms: -20x + 2x2 = 5x + -5x + -1x2 + x2 Combine like terms: 5x + -5x = 0 -20x + 2x2 = 0 + -1x2 + x2 -20x + 2x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -20x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-10 + x) = 0 Ignore the factor 2.Subproblem 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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Solution
x = {0, 10}
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