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Simplifying (2x + 5)(3x + 8) = 0 Reorder the terms: (5 + 2x)(3x + 8) = 0 Reorder the terms: (5 + 2x)(8 + 3x) = 0 Multiply (5 + 2x) * (8 + 3x) (5(8 + 3x) + 2x * (8 + 3x)) = 0 ((8 * 5 + 3x * 5) + 2x * (8 + 3x)) = 0 ((40 + 15x) + 2x * (8 + 3x)) = 0 (40 + 15x + (8 * 2x + 3x * 2x)) = 0 (40 + 15x + (16x + 6x2)) = 0 Combine like terms: 15x + 16x = 31x (40 + 31x + 6x2) = 0 Solving 40 + 31x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 3x)(5 + 2x) = 0Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
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 = -2.5Solution
x = {-2.666666667, -2.5}
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