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Simplifying (3x + 1)(3x + 7) = -9 Reorder the terms: (1 + 3x)(3x + 7) = -9 Reorder the terms: (1 + 3x)(7 + 3x) = -9 Multiply (1 + 3x) * (7 + 3x) (1(7 + 3x) + 3x * (7 + 3x)) = -9 ((7 * 1 + 3x * 1) + 3x * (7 + 3x)) = -9 ((7 + 3x) + 3x * (7 + 3x)) = -9 (7 + 3x + (7 * 3x + 3x * 3x)) = -9 (7 + 3x + (21x + 9x2)) = -9 Combine like terms: 3x + 21x = 24x (7 + 24x + 9x2) = -9 Solving 7 + 24x + 9x2 = -9 Solving for variable 'x'. Reorder the terms: 7 + 9 + 24x + 9x2 = -9 + 9 Combine like terms: 7 + 9 = 16 16 + 24x + 9x2 = -9 + 9 Combine like terms: -9 + 9 = 0 16 + 24x + 9x2 = 0 Factor a trinomial. (4 + 3x)(4 + 3x) = 0Subproblem 1
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 = -1.333333333Subproblem 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 = {-1.333333333, -1.333333333}
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