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Simplifying x(x + 20) = 20(2x + -5) Reorder the terms: x(20 + x) = 20(2x + -5) (20 * x + x * x) = 20(2x + -5) (20x + x2) = 20(2x + -5) Reorder the terms: 20x + x2 = 20(-5 + 2x) 20x + x2 = (-5 * 20 + 2x * 20) 20x + x2 = (-100 + 40x) Solving 20x + x2 = -100 + 40x Solving for variable 'x'. Reorder the terms: 100 + 20x + -40x + x2 = -100 + 40x + 100 + -40x Combine like terms: 20x + -40x = -20x 100 + -20x + x2 = -100 + 40x + 100 + -40x Reorder the terms: 100 + -20x + x2 = -100 + 100 + 40x + -40x Combine like terms: -100 + 100 = 0 100 + -20x + x2 = 0 + 40x + -40x 100 + -20x + x2 = 40x + -40x Combine like terms: 40x + -40x = 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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