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Simplifying (6x + 5)(9x + 4) = 0 Reorder the terms: (5 + 6x)(9x + 4) = 0 Reorder the terms: (5 + 6x)(4 + 9x) = 0 Multiply (5 + 6x) * (4 + 9x) (5(4 + 9x) + 6x * (4 + 9x)) = 0 ((4 * 5 + 9x * 5) + 6x * (4 + 9x)) = 0 ((20 + 45x) + 6x * (4 + 9x)) = 0 (20 + 45x + (4 * 6x + 9x * 6x)) = 0 (20 + 45x + (24x + 54x2)) = 0 Combine like terms: 45x + 24x = 69x (20 + 69x + 54x2) = 0 Solving 20 + 69x + 54x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 6x)(4 + 9x) = 0Subproblem 1
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 = -0.8333333333Subproblem 2
Set the factor '(4 + 9x)' equal to zero and attempt to solve: Simplifying 4 + 9x = 0 Solving 4 + 9x = 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 + 9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 0 + -4 9x = 0 + -4 Combine like terms: 0 + -4 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444Solution
x = {-0.8333333333, -0.4444444444}
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