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Simplifying 154 = x2 + 11x + 28 Reorder the terms: 154 = 28 + 11x + x2 Solving 154 = 28 + 11x + x2 Solving for variable 'x'. Combine like terms: 154 + -28 = 126 126 + -11x + -1x2 = 28 + 11x + x2 + -28 + -11x + -1x2 Reorder the terms: 126 + -11x + -1x2 = 28 + -28 + 11x + -11x + x2 + -1x2 Combine like terms: 28 + -28 = 0 126 + -11x + -1x2 = 0 + 11x + -11x + x2 + -1x2 126 + -11x + -1x2 = 11x + -11x + x2 + -1x2 Combine like terms: 11x + -11x = 0 126 + -11x + -1x2 = 0 + x2 + -1x2 126 + -11x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 126 + -11x + -1x2 = 0 Factor a trinomial. (7 + -1x)(18 + 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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {7, -18}
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