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Simplifying (5x + 1)(5x + -8) = 0 Reorder the terms: (1 + 5x)(5x + -8) = 0 Reorder the terms: (1 + 5x)(-8 + 5x) = 0 Multiply (1 + 5x) * (-8 + 5x) (1(-8 + 5x) + 5x * (-8 + 5x)) = 0 ((-8 * 1 + 5x * 1) + 5x * (-8 + 5x)) = 0 ((-8 + 5x) + 5x * (-8 + 5x)) = 0 (-8 + 5x + (-8 * 5x + 5x * 5x)) = 0 (-8 + 5x + (-40x + 25x2)) = 0 Combine like terms: 5x + -40x = -35x (-8 + -35x + 25x2) = 0 Solving -8 + -35x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -5x)(8 + -5x) = 0Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 2
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 = 1.6Solution
x = {-0.2, 1.6}
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