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Simplifying x2 = 18x + -77 Reorder the terms: x2 = -77 + 18x Solving x2 = -77 + 18x Solving for variable 'x'. Reorder the terms: 77 + -18x + x2 = -77 + 18x + 77 + -18x Reorder the terms: 77 + -18x + x2 = -77 + 77 + 18x + -18x Combine like terms: -77 + 77 = 0 77 + -18x + x2 = 0 + 18x + -18x 77 + -18x + x2 = 18x + -18x Combine like terms: 18x + -18x = 0 77 + -18x + x2 = 0 Factor a trinomial. (7 + -1x)(11 + -1x) = 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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {7, 11}
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