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Simplifying (-5 + -8x)(2 + -1x) = 0 Multiply (-5 + -8x) * (2 + -1x) (-5(2 + -1x) + -8x * (2 + -1x)) = 0 ((2 * -5 + -1x * -5) + -8x * (2 + -1x)) = 0 ((-10 + 5x) + -8x * (2 + -1x)) = 0 (-10 + 5x + (2 * -8x + -1x * -8x)) = 0 (-10 + 5x + (-16x + 8x2)) = 0 Combine like terms: 5x + -16x = -11x (-10 + -11x + 8x2) = 0 Solving -10 + -11x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -8x)(2 + -1x) = 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 '(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 = {-0.625, 2}
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