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Simplifying (2x + 1)(6x + 1) = 0 Reorder the terms: (1 + 2x)(6x + 1) = 0 Reorder the terms: (1 + 2x)(1 + 6x) = 0 Multiply (1 + 2x) * (1 + 6x) (1(1 + 6x) + 2x * (1 + 6x)) = 0 ((1 * 1 + 6x * 1) + 2x * (1 + 6x)) = 0 ((1 + 6x) + 2x * (1 + 6x)) = 0 (1 + 6x + (1 * 2x + 6x * 2x)) = 0 (1 + 6x + (2x + 12x2)) = 0 Combine like terms: 6x + 2x = 8x (1 + 8x + 12x2) = 0 Solving 1 + 8x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + 2x)(1 + 6x) = 0Subproblem 1
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Subproblem 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 = {-0.5, -0.1666666667}
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