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Simplifying (x + -6)(5x + 4) = 0 Reorder the terms: (-6 + x)(5x + 4) = 0 Reorder the terms: (-6 + x)(4 + 5x) = 0 Multiply (-6 + x) * (4 + 5x) (-6(4 + 5x) + x(4 + 5x)) = 0 ((4 * -6 + 5x * -6) + x(4 + 5x)) = 0 ((-24 + -30x) + x(4 + 5x)) = 0 (-24 + -30x + (4 * x + 5x * x)) = 0 (-24 + -30x + (4x + 5x2)) = 0 Combine like terms: -30x + 4x = -26x (-24 + -26x + 5x2) = 0 Solving -24 + -26x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -5x)(6 + -1x) = 0Subproblem 1
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 = -0.8Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-0.8, 6}
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