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Simplifying x(x + 10) = 171 Reorder the terms: x(10 + x) = 171 (10 * x + x * x) = 171 (10x + x2) = 171 Solving 10x + x2 = 171 Solving for variable 'x'. Reorder the terms: -171 + 10x + x2 = 171 + -171 Combine like terms: 171 + -171 = 0 -171 + 10x + x2 = 0 Factor a trinomial. (-19 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-19, 9}
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