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Simplifying (-1 + -4x)(4 + -5x) = 0 Multiply (-1 + -4x) * (4 + -5x) (-1(4 + -5x) + -4x * (4 + -5x)) = 0 ((4 * -1 + -5x * -1) + -4x * (4 + -5x)) = 0 ((-4 + 5x) + -4x * (4 + -5x)) = 0 (-4 + 5x + (4 * -4x + -5x * -4x)) = 0 (-4 + 5x + (-16x + 20x2)) = 0 Combine like terms: 5x + -16x = -11x (-4 + -11x + 20x2) = 0 Solving -4 + -11x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -4x)(4 + -5x) = 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 '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {-0.25, 0.8}
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