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Simplifying 198 = (x + -7) * x Reorder the terms: 198 = (-7 + x) * x Reorder the terms for easier multiplication: 198 = x(-7 + x) 198 = (-7 * x + x * x) 198 = (-7x + x2) Solving 198 = -7x + x2 Solving for variable 'x'. Reorder the terms: 198 + 7x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 198 + 7x + -1x2 = 0 + x2 + -1x2 198 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 198 + 7x + -1x2 = 0 Factor a trinomial. (18 + -1x)(11 + x) = 0Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 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 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {18, -11}
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