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Simplifying 39x2 + 20x + -75 = 0 Reorder the terms: -75 + 20x + 39x2 = 0 Solving -75 + 20x + 39x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x)(15 + -13x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(15 + -13x)' equal to zero and attempt to solve: Simplifying 15 + -13x = 0 Solving 15 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -13x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = 0 + -15 -13x = 0 + -15 Combine like terms: 0 + -15 = -15 -13x = -15 Divide each side by '-13'. x = 1.153846154 Simplifying x = 1.153846154Solution
x = {-1.666666667, 1.153846154}
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