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Simplifying 0 = 8x2 + 3x + -5 Reorder the terms: 0 = -5 + 3x + 8x2 Solving 0 = -5 + 3x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 5 = 5 5 + -3x + -8x2 = -5 + 3x + 8x2 + 5 + -3x + -8x2 Reorder the terms: 5 + -3x + -8x2 = -5 + 5 + 3x + -3x + 8x2 + -8x2 Combine like terms: -5 + 5 = 0 5 + -3x + -8x2 = 0 + 3x + -3x + 8x2 + -8x2 5 + -3x + -8x2 = 3x + -3x + 8x2 + -8x2 Combine like terms: 3x + -3x = 0 5 + -3x + -8x2 = 0 + 8x2 + -8x2 5 + -3x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 5 + -3x + -8x2 = 0 Factor a trinomial. (5 + -8x)(1 + x) = 0Subproblem 1
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 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 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0.625, -1}
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