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Simplifying (2x + -9)(x + -11) = 0 Reorder the terms: (-9 + 2x)(x + -11) = 0 Reorder the terms: (-9 + 2x)(-11 + x) = 0 Multiply (-9 + 2x) * (-11 + x) (-9(-11 + x) + 2x * (-11 + x)) = 0 ((-11 * -9 + x * -9) + 2x * (-11 + x)) = 0 ((99 + -9x) + 2x * (-11 + x)) = 0 (99 + -9x + (-11 * 2x + x * 2x)) = 0 (99 + -9x + (-22x + 2x2)) = 0 Combine like terms: -9x + -22x = -31x (99 + -31x + 2x2) = 0 Solving 99 + -31x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -2x)(11 + -1x) = 0Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Subproblem 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 = {4.5, 11}
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