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Simplifying -50 + 87x = -75x2 + -8x Reorder the terms: -50 + 87x = -8x + -75x2 Solving -50 + 87x = -8x + -75x2 Solving for variable 'x'. Combine like terms: 87x + 8x = 95x -50 + 95x + 75x2 = -8x + -75x2 + 8x + 75x2 Reorder the terms: -50 + 95x + 75x2 = -8x + 8x + -75x2 + 75x2 Combine like terms: -8x + 8x = 0 -50 + 95x + 75x2 = 0 + -75x2 + 75x2 -50 + 95x + 75x2 = -75x2 + 75x2 Combine like terms: -75x2 + 75x2 = 0 -50 + 95x + 75x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-10 + 19x + 15x2) = 0 Factor a trinomial. 5((-5 + -3x)(2 + -5x)) = 0 Ignore the factor 5.Subproblem 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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-1.666666667, 0.4}
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