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Simplifying (-2x + -5)(4x + -1) = 0 Reorder the terms: (-5 + -2x)(4x + -1) = 0 Reorder the terms: (-5 + -2x)(-1 + 4x) = 0 Multiply (-5 + -2x) * (-1 + 4x) (-5(-1 + 4x) + -2x * (-1 + 4x)) = 0 ((-1 * -5 + 4x * -5) + -2x * (-1 + 4x)) = 0 ((5 + -20x) + -2x * (-1 + 4x)) = 0 (5 + -20x + (-1 * -2x + 4x * -2x)) = 0 (5 + -20x + (2x + -8x2)) = 0 Combine like terms: -20x + 2x = -18x (5 + -18x + -8x2) = 0 Solving 5 + -18x + -8x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -4x)(5 + 2x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 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 = {0.25, -2.5}
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