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Simplifying 0 = 8x2 + -14x + -15 Reorder the terms: 0 = -15 + -14x + 8x2 Solving 0 = -15 + -14x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 15 = 15 15 + 14x + -8x2 = -15 + -14x + 8x2 + 15 + 14x + -8x2 Reorder the terms: 15 + 14x + -8x2 = -15 + 15 + -14x + 14x + 8x2 + -8x2 Combine like terms: -15 + 15 = 0 15 + 14x + -8x2 = 0 + -14x + 14x + 8x2 + -8x2 15 + 14x + -8x2 = -14x + 14x + 8x2 + -8x2 Combine like terms: -14x + 14x = 0 15 + 14x + -8x2 = 0 + 8x2 + -8x2 15 + 14x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 15 + 14x + -8x2 = 0 Factor a trinomial. (5 + -2x)(3 + 4x) = 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 '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {2.5, -0.75}
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