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