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Simplifying (5x + 2)(3x + 1) = 0 Reorder the terms: (2 + 5x)(3x + 1) = 0 Reorder the terms: (2 + 5x)(1 + 3x) = 0 Multiply (2 + 5x) * (1 + 3x) (2(1 + 3x) + 5x * (1 + 3x)) = 0 ((1 * 2 + 3x * 2) + 5x * (1 + 3x)) = 0 ((2 + 6x) + 5x * (1 + 3x)) = 0 (2 + 6x + (1 * 5x + 3x * 5x)) = 0 (2 + 6x + (5x + 15x2)) = 0 Combine like terms: 6x + 5x = 11x (2 + 11x + 15x2) = 0 Solving 2 + 11x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + 5x)(1 + 3x) = 0Subproblem 1
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Subproblem 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 = {-0.4, -0.3333333333}
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