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Simplifying (5x + 6)(4x + -9) = 0 Reorder the terms: (6 + 5x)(4x + -9) = 0 Reorder the terms: (6 + 5x)(-9 + 4x) = 0 Multiply (6 + 5x) * (-9 + 4x) (6(-9 + 4x) + 5x * (-9 + 4x)) = 0 ((-9 * 6 + 4x * 6) + 5x * (-9 + 4x)) = 0 ((-54 + 24x) + 5x * (-9 + 4x)) = 0 (-54 + 24x + (-9 * 5x + 4x * 5x)) = 0 (-54 + 24x + (-45x + 20x2)) = 0 Combine like terms: 24x + -45x = -21x (-54 + -21x + 20x2) = 0 Solving -54 + -21x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -5x)(9 + -4x) = 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 '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-1.2, 2.25}
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