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Simplifying (3x + 7)(3x + 5) = 0 Reorder the terms: (7 + 3x)(3x + 5) = 0 Reorder the terms: (7 + 3x)(5 + 3x) = 0 Multiply (7 + 3x) * (5 + 3x) (7(5 + 3x) + 3x * (5 + 3x)) = 0 ((5 * 7 + 3x * 7) + 3x * (5 + 3x)) = 0 ((35 + 21x) + 3x * (5 + 3x)) = 0 (35 + 21x + (5 * 3x + 3x * 3x)) = 0 (35 + 21x + (15x + 9x2)) = 0 Combine like terms: 21x + 15x = 36x (35 + 36x + 9x2) = 0 Solving 35 + 36x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 3x)(5 + 3x) = 0Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {-2.333333333, -1.666666667}
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