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Simplifying 55x2 + -73x + 24 = 0 Reorder the terms: 24 + -73x + 55x2 = 0 Solving 24 + -73x + 55x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(8 + -11x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(8 + -11x)' equal to zero and attempt to solve: Simplifying 8 + -11x = 0 Solving 8 + -11x = 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 + -11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 0 + -8 -11x = 0 + -8 Combine like terms: 0 + -8 = -8 -11x = -8 Divide each side by '-11'. x = 0.7272727273 Simplifying x = 0.7272727273Solution
x = {0.6, 0.7272727273}
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