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Simplifying (6x + -5)(x + 4) = 0 Reorder the terms: (-5 + 6x)(x + 4) = 0 Reorder the terms: (-5 + 6x)(4 + x) = 0 Multiply (-5 + 6x) * (4 + x) (-5(4 + x) + 6x * (4 + x)) = 0 ((4 * -5 + x * -5) + 6x * (4 + x)) = 0 ((-20 + -5x) + 6x * (4 + x)) = 0 (-20 + -5x + (4 * 6x + x * 6x)) = 0 (-20 + -5x + (24x + 6x2)) = 0 Combine like terms: -5x + 24x = 19x (-20 + 19x + 6x2) = 0 Solving -20 + 19x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(5 + -6x) = 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 '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {-4, 0.8333333333}
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