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Simplifying 52x2 + -29x + -45 = 0 Reorder the terms: -45 + -29x + 52x2 = 0 Solving -45 + -29x + 52x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -13x)(5 + -4x) = 0Subproblem 1
Set the factor '(-9 + -13x)' equal to zero and attempt to solve: Simplifying -9 + -13x = 0 Solving -9 + -13x = 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 + -13x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -13x = 0 + 9 -13x = 0 + 9 Combine like terms: 0 + 9 = 9 -13x = 9 Divide each side by '-13'. x = -0.6923076923 Simplifying x = -0.6923076923Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-0.6923076923, 1.25}
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