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Simplifying (4x + 5)(4x + 9) = 0 Reorder the terms: (5 + 4x)(4x + 9) = 0 Reorder the terms: (5 + 4x)(9 + 4x) = 0 Multiply (5 + 4x) * (9 + 4x) (5(9 + 4x) + 4x * (9 + 4x)) = 0 ((9 * 5 + 4x * 5) + 4x * (9 + 4x)) = 0 ((45 + 20x) + 4x * (9 + 4x)) = 0 (45 + 20x + (9 * 4x + 4x * 4x)) = 0 (45 + 20x + (36x + 16x2)) = 0 Combine like terms: 20x + 36x = 56x (45 + 56x + 16x2) = 0 Solving 45 + 56x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 4x)(5 + 4x) = 0Subproblem 1
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 = -2.25Subproblem 2
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 = -1.25Solution
x = {-2.25, -1.25}
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