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Simplifying (6x + 1)(3x + 2) = 0 Reorder the terms: (1 + 6x)(3x + 2) = 0 Reorder the terms: (1 + 6x)(2 + 3x) = 0 Multiply (1 + 6x) * (2 + 3x) (1(2 + 3x) + 6x * (2 + 3x)) = 0 ((2 * 1 + 3x * 1) + 6x * (2 + 3x)) = 0 ((2 + 3x) + 6x * (2 + 3x)) = 0 (2 + 3x + (2 * 6x + 3x * 6x)) = 0 (2 + 3x + (12x + 18x2)) = 0 Combine like terms: 3x + 12x = 15x (2 + 15x + 18x2) = 0 Solving 2 + 15x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + 3x)(1 + 6x) = 0Subproblem 1
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 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 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667Solution
x = {-0.6666666667, -0.1666666667}
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