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Simplifying (x + -4)(5x + 6) = 0 Reorder the terms: (-4 + x)(5x + 6) = 0 Reorder the terms: (-4 + x)(6 + 5x) = 0 Multiply (-4 + x) * (6 + 5x) (-4(6 + 5x) + x(6 + 5x)) = 0 ((6 * -4 + 5x * -4) + x(6 + 5x)) = 0 ((-24 + -20x) + x(6 + 5x)) = 0 (-24 + -20x + (6 * x + 5x * x)) = 0 (-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. (-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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