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Simplifying -44x2 + 32x + 195 = 0 Reorder the terms: 195 + 32x + -44x2 = 0 Solving 195 + 32x + -44x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -2x)(39 + 22x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(39 + 22x)' equal to zero and attempt to solve: Simplifying 39 + 22x = 0 Solving 39 + 22x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 22x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 22x = 0 + -39 22x = 0 + -39 Combine like terms: 0 + -39 = -39 22x = -39 Divide each side by '22'. x = -1.772727273 Simplifying x = -1.772727273Solution
x = {2.5, -1.772727273}
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