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Simplifying x2 + 10x = -100 + -10x Reorder the terms: 10x + x2 = -100 + -10x Solving 10x + x2 = -100 + -10x Solving for variable 'x'. Reorder the terms: 100 + 10x + 10x + x2 = -100 + -10x + 100 + 10x Combine like terms: 10x + 10x = 20x 100 + 20x + x2 = -100 + -10x + 100 + 10x Reorder the terms: 100 + 20x + x2 = -100 + 100 + -10x + 10x Combine like terms: -100 + 100 = 0 100 + 20x + x2 = 0 + -10x + 10x 100 + 20x + x2 = -10x + 10x Combine like terms: -10x + 10x = 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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