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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 + x)(10 + x) = 0Subproblem 1
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 = -10Subproblem 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 = {-10, -10}
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