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Simplifying 15x^{2}+ -8x + -7 = 0 Reorder the terms: -7 + -8x + 15x^{2}= 0 Solving -7 + -8x + 15x^{2}= 0 Solving for variable 'x'. Factor a trinomial. (-7 + -15x)(1 + -1x) = 0## Subproblem 1

Set the factor '(-7 + -15x)' equal to zero and attempt to solve: Simplifying -7 + -15x = 0 Solving -7 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -15x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -15x = 0 + 7 -15x = 0 + 7 Combine like terms: 0 + 7 = 7 -15x = 7 Divide each side by '-15'. x = -0.4666666667 Simplifying x = -0.4666666667## Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1## Solution

x = {-0.4666666667, 1}

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