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Simplifying 0 = 2x2 + 15x + -8 Reorder the terms: 0 = -8 + 15x + 2x2 Solving 0 = -8 + 15x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + -15x + -2x2 = -8 + 15x + 2x2 + 8 + -15x + -2x2 Reorder the terms: 8 + -15x + -2x2 = -8 + 8 + 15x + -15x + 2x2 + -2x2 Combine like terms: -8 + 8 = 0 8 + -15x + -2x2 = 0 + 15x + -15x + 2x2 + -2x2 8 + -15x + -2x2 = 15x + -15x + 2x2 + -2x2 Combine like terms: 15x + -15x = 0 8 + -15x + -2x2 = 0 + 2x2 + -2x2 8 + -15x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 8 + -15x + -2x2 = 0 Factor a trinomial. (1 + -2x)(8 + x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {0.5, -8}
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