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Simplifying (2x + 5)(3x + 4) = 0 Reorder the terms: (5 + 2x)(3x + 4) = 0 Reorder the terms: (5 + 2x)(4 + 3x) = 0 Multiply (5 + 2x) * (4 + 3x) (5(4 + 3x) + 2x * (4 + 3x)) = 0 ((4 * 5 + 3x * 5) + 2x * (4 + 3x)) = 0 ((20 + 15x) + 2x * (4 + 3x)) = 0 (20 + 15x + (4 * 2x + 3x * 2x)) = 0 (20 + 15x + (8x + 6x2)) = 0 Combine like terms: 15x + 8x = 23x (20 + 23x + 6x2) = 0 Solving 20 + 23x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 2x)(4 + 3x) = 0Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {-2.5, -1.333333333}
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