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