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Simplifying 2x(x + -4) + 5(x + -4) = 0 Reorder the terms: 2x(-4 + x) + 5(x + -4) = 0 (-4 * 2x + x * 2x) + 5(x + -4) = 0 (-8x + 2x2) + 5(x + -4) = 0 Reorder the terms: -8x + 2x2 + 5(-4 + x) = 0 -8x + 2x2 + (-4 * 5 + x * 5) = 0 -8x + 2x2 + (-20 + 5x) = 0 Reorder the terms: -20 + -8x + 5x + 2x2 = 0 Combine like terms: -8x + 5x = -3x -20 + -3x + 2x2 = 0 Solving -20 + -3x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x)(4 + -1x) = 0Subproblem 1
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 = -2.5Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-2.5, 4}
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