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Simplifying (4x + 5)(6x + -5) = 0 Reorder the terms: (5 + 4x)(6x + -5) = 0 Reorder the terms: (5 + 4x)(-5 + 6x) = 0 Multiply (5 + 4x) * (-5 + 6x) (5(-5 + 6x) + 4x * (-5 + 6x)) = 0 ((-5 * 5 + 6x * 5) + 4x * (-5 + 6x)) = 0 ((-25 + 30x) + 4x * (-5 + 6x)) = 0 (-25 + 30x + (-5 * 4x + 6x * 4x)) = 0 (-25 + 30x + (-20x + 24x2)) = 0 Combine like terms: 30x + -20x = 10x (-25 + 10x + 24x2) = 0 Solving -25 + 10x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(5 + -6x) = 0Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 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 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 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 = {-1.25, 0.8333333333}
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