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Simplifying 0 = 5x2 + -8x + -4 Reorder the terms: 0 = -4 + -8x + 5x2 Solving 0 = -4 + -8x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 4 = 4 4 + 8x + -5x2 = -4 + -8x + 5x2 + 4 + 8x + -5x2 Reorder the terms: 4 + 8x + -5x2 = -4 + 4 + -8x + 8x + 5x2 + -5x2 Combine like terms: -4 + 4 = 0 4 + 8x + -5x2 = 0 + -8x + 8x + 5x2 + -5x2 4 + 8x + -5x2 = -8x + 8x + 5x2 + -5x2 Combine like terms: -8x + 8x = 0 4 + 8x + -5x2 = 0 + 5x2 + -5x2 4 + 8x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 4 + 8x + -5x2 = 0 Factor a trinomial. (2 + -1x)(2 + 5x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {2, -0.4}
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