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Simplifying (5x + 7)(3x + 4) = 0 Reorder the terms: (7 + 5x)(3x + 4) = 0 Reorder the terms: (7 + 5x)(4 + 3x) = 0 Multiply (7 + 5x) * (4 + 3x) (7(4 + 3x) + 5x * (4 + 3x)) = 0 ((4 * 7 + 3x * 7) + 5x * (4 + 3x)) = 0 ((28 + 21x) + 5x * (4 + 3x)) = 0 (28 + 21x + (4 * 5x + 3x * 5x)) = 0 (28 + 21x + (20x + 15x2)) = 0 Combine like terms: 21x + 20x = 41x (28 + 41x + 15x2) = 0 Solving 28 + 41x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 5x)(4 + 3x) = 0Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Subproblem 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 = {-1.4, -1.333333333}
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