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Simplifying -15x2 + 82x + -95 = 0 Reorder the terms: -95 + 82x + -15x2 = 0 Solving -95 + 82x + -15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + 5x)(5 + -3x) = 0Subproblem 1
Set the factor '(-19 + 5x)' equal to zero and attempt to solve: Simplifying -19 + 5x = 0 Solving -19 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 5x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = 0 + 19 5x = 0 + 19 Combine like terms: 0 + 19 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8Subproblem 2
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 = 1.666666667Solution
x = {3.8, 1.666666667}
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