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Simplifying 0 = -1x2 + 28x + -171 Reorder the terms: 0 = -171 + 28x + -1x2 Solving 0 = -171 + 28x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 171 = 171 171 + -28x + x2 = -171 + 28x + -1x2 + 171 + -28x + x2 Reorder the terms: 171 + -28x + x2 = -171 + 171 + 28x + -28x + -1x2 + x2 Combine like terms: -171 + 171 = 0 171 + -28x + x2 = 0 + 28x + -28x + -1x2 + x2 171 + -28x + x2 = 28x + -28x + -1x2 + x2 Combine like terms: 28x + -28x = 0 171 + -28x + x2 = 0 + -1x2 + x2 171 + -28x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 171 + -28x + x2 = 0 Factor a trinomial. (9 + -1x)(19 + -1x) = 0Subproblem 1
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 = 9Subproblem 2
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 = 19Solution
x = {9, 19}
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