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Simplifying x(5x + -8) + -2(5x + -8) = 0 Reorder the terms: x(-8 + 5x) + -2(5x + -8) = 0 (-8 * x + 5x * x) + -2(5x + -8) = 0 (-8x + 5x2) + -2(5x + -8) = 0 Reorder the terms: -8x + 5x2 + -2(-8 + 5x) = 0 -8x + 5x2 + (-8 * -2 + 5x * -2) = 0 -8x + 5x2 + (16 + -10x) = 0 Reorder the terms: 16 + -8x + -10x + 5x2 = 0 Combine like terms: -8x + -10x = -18x 16 + -18x + 5x2 = 0 Solving 16 + -18x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Subproblem 2
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 = 2Solution
x = {1.6, 2}
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