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Simplifying (3x + 4)(6x + 1) = 0 Reorder the terms: (4 + 3x)(6x + 1) = 0 Reorder the terms: (4 + 3x)(1 + 6x) = 0 Multiply (4 + 3x) * (1 + 6x) (4(1 + 6x) + 3x * (1 + 6x)) = 0 ((1 * 4 + 6x * 4) + 3x * (1 + 6x)) = 0 ((4 + 24x) + 3x * (1 + 6x)) = 0 (4 + 24x + (1 * 3x + 6x * 3x)) = 0 (4 + 24x + (3x + 18x2)) = 0 Combine like terms: 24x + 3x = 27x (4 + 27x + 18x2) = 0 Solving 4 + 27x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 3x)(1 + 6x) = 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 '(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 = {-1.333333333, -0.1666666667}
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