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Simplifying 0 = -4x2 + 8x + 5 Reorder the terms: 0 = 5 + 8x + -4x2 Solving 0 = 5 + 8x + -4x2 Solving for variable 'x'. Combine like terms: 0 + -5 = -5 -5 + -8x + 4x2 = 5 + 8x + -4x2 + -5 + -8x + 4x2 Reorder the terms: -5 + -8x + 4x2 = 5 + -5 + 8x + -8x + -4x2 + 4x2 Combine like terms: 5 + -5 = 0 -5 + -8x + 4x2 = 0 + 8x + -8x + -4x2 + 4x2 -5 + -8x + 4x2 = 8x + -8x + -4x2 + 4x2 Combine like terms: 8x + -8x = 0 -5 + -8x + 4x2 = 0 + -4x2 + 4x2 -5 + -8x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -5 + -8x + 4x2 = 0 Factor a trinomial. (-1 + -2x)(5 + -2x) = 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 '(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 = 2.5Solution
x = {-0.5, 2.5}
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