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Simplifying (-1x + -11)(x + -9) = 0 Reorder the terms: (-11 + -1x)(x + -9) = 0 Reorder the terms: (-11 + -1x)(-9 + x) = 0 Multiply (-11 + -1x) * (-9 + x) (-11(-9 + x) + -1x * (-9 + x)) = 0 ((-9 * -11 + x * -11) + -1x * (-9 + x)) = 0 ((99 + -11x) + -1x * (-9 + x)) = 0 (99 + -11x + (-9 * -1x + x * -1x)) = 0 (99 + -11x + (9x + -1x2)) = 0 Combine like terms: -11x + 9x = -2x (99 + -2x + -1x2) = 0 Solving 99 + -2x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x)(11 + x) = 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 '(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 = {9, -11}
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