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Simplifying 0 = -8x2 + 5x + 3 Reorder the terms: 0 = 3 + 5x + -8x2 Solving 0 = 3 + 5x + -8x2 Solving for variable 'x'. Combine like terms: 0 + -3 = -3 -3 + -5x + 8x2 = 3 + 5x + -8x2 + -3 + -5x + 8x2 Reorder the terms: -3 + -5x + 8x2 = 3 + -3 + 5x + -5x + -8x2 + 8x2 Combine like terms: 3 + -3 = 0 -3 + -5x + 8x2 = 0 + 5x + -5x + -8x2 + 8x2 -3 + -5x + 8x2 = 5x + -5x + -8x2 + 8x2 Combine like terms: 5x + -5x = 0 -3 + -5x + 8x2 = 0 + -8x2 + 8x2 -3 + -5x + 8x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 -3 + -5x + 8x2 = 0 Factor a trinomial. (-3 + -8x)(1 + -1x) = 0Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve: Simplifying -3 + -8x = 0 Solving -3 + -8x = 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 + -8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 0 + 3 -8x = 0 + 3 Combine like terms: 0 + 3 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375Subproblem 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 = 1Solution
x = {-0.375, 1}
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