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Simplifying 119 = (x + 10) * x Reorder the terms: 119 = (10 + x) * x Reorder the terms for easier multiplication: 119 = x(10 + x) 119 = (10 * x + x * x) 119 = (10x + x2) Solving 119 = 10x + x2 Solving for variable 'x'. Reorder the terms: 119 + -10x + -1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 119 + -10x + -1x2 = 0 + x2 + -1x2 119 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 119 + -10x + -1x2 = 0 Factor a trinomial. (7 + -1x)(17 + x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {7, -17}
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