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Simplifying x2 + -11x + 30.25 = -24 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -24 + 30.25 Combine like terms: -24 + 30.25 = 6.25 30.25 + -11x + x2 = 6.25 Solving 30.25 + -11x + x2 = 6.25 Solving for variable 'x'. Reorder the terms: 30.25 + -6.25 + -11x + x2 = 6.25 + -6.25 Combine like terms: 30.25 + -6.25 = 24 24 + -11x + x2 = 6.25 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 24 + -11x + x2 = 0.00 Factor a trinomial. (3 + -1x)(8 + -1x) = 0.00Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {3, 8}
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