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Simplifying (5x + 3)(3x + 1) = 0 Reorder the terms: (3 + 5x)(3x + 1) = 0 Reorder the terms: (3 + 5x)(1 + 3x) = 0 Multiply (3 + 5x) * (1 + 3x) (3(1 + 3x) + 5x * (1 + 3x)) = 0 ((1 * 3 + 3x * 3) + 5x * (1 + 3x)) = 0 ((3 + 9x) + 5x * (1 + 3x)) = 0 (3 + 9x + (1 * 5x + 3x * 5x)) = 0 (3 + 9x + (5x + 15x2)) = 0 Combine like terms: 9x + 5x = 14x (3 + 14x + 15x2) = 0 Solving 3 + 14x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 5x)(1 + 3x) = 0Subproblem 1
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Subproblem 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 = {-0.6, -0.3333333333}
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