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Simplifying x2 + x2 + -10x + 25 = x2 + 10x + 25 Reorder the terms: 25 + -10x + x2 + x2 = x2 + 10x + 25 Combine like terms: x2 + x2 = 2x2 25 + -10x + 2x2 = x2 + 10x + 25 Reorder the terms: 25 + -10x + 2x2 = 25 + 10x + x2 Add '-25' to each side of the equation. 25 + -10x + -25 + 2x2 = 25 + 10x + -25 + x2 Reorder the terms: 25 + -25 + -10x + 2x2 = 25 + 10x + -25 + x2 Combine like terms: 25 + -25 = 0 0 + -10x + 2x2 = 25 + 10x + -25 + x2 -10x + 2x2 = 25 + 10x + -25 + x2 Reorder the terms: -10x + 2x2 = 25 + -25 + 10x + x2 Combine like terms: 25 + -25 = 0 -10x + 2x2 = 0 + 10x + x2 -10x + 2x2 = 10x + x2 Solving -10x + 2x2 = 10x + x2 Solving for variable 'x'. Reorder the terms: -10x + -10x + 2x2 + -1x2 = 10x + x2 + -10x + -1x2 Combine like terms: -10x + -10x = -20x -20x + 2x2 + -1x2 = 10x + x2 + -10x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -20x + 1x2 = 10x + x2 + -10x + -1x2 Reorder the terms: -20x + 1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 -20x + 1x2 = 0 + x2 + -1x2 -20x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Solution
x = {0, 20}
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