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Simplifying 5x(x + 4) + -6(x + 4) = 0 Reorder the terms: 5x(4 + x) + -6(x + 4) = 0 (4 * 5x + x * 5x) + -6(x + 4) = 0 (20x + 5x2) + -6(x + 4) = 0 Reorder the terms: 20x + 5x2 + -6(4 + x) = 0 20x + 5x2 + (4 * -6 + x * -6) = 0 20x + 5x2 + (-24 + -6x) = 0 Reorder the terms: -24 + 20x + -6x + 5x2 = 0 Combine like terms: 20x + -6x = 14x -24 + 14x + 5x2 = 0 Solving -24 + 14x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(6 + -5x) = 0Subproblem 1
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 = -4Subproblem 2
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 = 1.2Solution
x = {-4, 1.2}
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