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Simplifying (5x + -4)(-1x + 2) = 0 Reorder the terms: (-4 + 5x)(-1x + 2) = 0 Reorder the terms: (-4 + 5x)(2 + -1x) = 0 Multiply (-4 + 5x) * (2 + -1x) (-4(2 + -1x) + 5x * (2 + -1x)) = 0 ((2 * -4 + -1x * -4) + 5x * (2 + -1x)) = 0 ((-8 + 4x) + 5x * (2 + -1x)) = 0 (-8 + 4x + (2 * 5x + -1x * 5x)) = 0 (-8 + 4x + (10x + -5x2)) = 0 Combine like terms: 4x + 10x = 14x (-8 + 14x + -5x2) = 0 Solving -8 + 14x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + x)(4 + -5x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 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 = {2, 0.8}
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