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Simplifying (3x + 1)(9x + 28) = 0 Reorder the terms: (1 + 3x)(9x + 28) = 0 Reorder the terms: (1 + 3x)(28 + 9x) = 0 Multiply (1 + 3x) * (28 + 9x) (1(28 + 9x) + 3x * (28 + 9x)) = 0 ((28 * 1 + 9x * 1) + 3x * (28 + 9x)) = 0 ((28 + 9x) + 3x * (28 + 9x)) = 0 (28 + 9x + (28 * 3x + 9x * 3x)) = 0 (28 + 9x + (84x + 27x2)) = 0 Combine like terms: 9x + 84x = 93x (28 + 93x + 27x2) = 0 Solving 28 + 93x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (28 + 9x)(1 + 3x) = 0Subproblem 1
Set the factor '(28 + 9x)' equal to zero and attempt to solve: Simplifying 28 + 9x = 0 Solving 28 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 9x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 9x = 0 + -28 9x = 0 + -28 Combine like terms: 0 + -28 = -28 9x = -28 Divide each side by '9'. x = -3.111111111 Simplifying x = -3.111111111Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-3.111111111, -0.3333333333}
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