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Simplifying (6x + 1)(7x + 3) = 0 Reorder the terms: (1 + 6x)(7x + 3) = 0 Reorder the terms: (1 + 6x)(3 + 7x) = 0 Multiply (1 + 6x) * (3 + 7x) (1(3 + 7x) + 6x * (3 + 7x)) = 0 ((3 * 1 + 7x * 1) + 6x * (3 + 7x)) = 0 ((3 + 7x) + 6x * (3 + 7x)) = 0 (3 + 7x + (3 * 6x + 7x * 6x)) = 0 (3 + 7x + (18x + 42x2)) = 0 Combine like terms: 7x + 18x = 25x (3 + 25x + 42x2) = 0 Solving 3 + 25x + 42x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 7x)(1 + 6x) = 0Subproblem 1
Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Subproblem 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 = {-0.4285714286, -0.1666666667}
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