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Simplifying (3x + 4)(5x + 8) = 0 Reorder the terms: (4 + 3x)(5x + 8) = 0 Reorder the terms: (4 + 3x)(8 + 5x) = 0 Multiply (4 + 3x) * (8 + 5x) (4(8 + 5x) + 3x * (8 + 5x)) = 0 ((8 * 4 + 5x * 4) + 3x * (8 + 5x)) = 0 ((32 + 20x) + 3x * (8 + 5x)) = 0 (32 + 20x + (8 * 3x + 5x * 3x)) = 0 (32 + 20x + (24x + 15x2)) = 0 Combine like terms: 20x + 24x = 44x (32 + 44x + 15x2) = 0 Solving 32 + 44x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 5x)(4 + 3x) = 0Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 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 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Subproblem 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 = {-1.6, -1.333333333}
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