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Simplifying 5x(x + -2) + -4(x + 6) = 0 Reorder the terms: 5x(-2 + x) + -4(x + 6) = 0 (-2 * 5x + x * 5x) + -4(x + 6) = 0 (-10x + 5x2) + -4(x + 6) = 0 Reorder the terms: -10x + 5x2 + -4(6 + x) = 0 -10x + 5x2 + (6 * -4 + x * -4) = 0 -10x + 5x2 + (-24 + -4x) = 0 Reorder the terms: -24 + -10x + -4x + 5x2 = 0 Combine like terms: -10x + -4x = -14x -24 + -14x + 5x2 = 0 Solving -24 + -14x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 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 = {-1.2, 4}
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