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Simplifying x2 = 20x + -100 Reorder the terms: x2 = -100 + 20x Solving x2 = -100 + 20x Solving for variable 'x'. Reorder the terms: 100 + -20x + x2 = -100 + 20x + 100 + -20x Reorder the terms: 100 + -20x + x2 = -100 + 100 + 20x + -20x Combine like terms: -100 + 100 = 0 100 + -20x + x2 = 0 + 20x + -20x 100 + -20x + x2 = 20x + -20x Combine like terms: 20x + -20x = 0 100 + -20x + x2 = 0 Factor a trinomial. (10 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {10, 10}
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