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Simplifying (6x + -1)(7x + 1) = 0 Reorder the terms: (-1 + 6x)(7x + 1) = 0 Reorder the terms: (-1 + 6x)(1 + 7x) = 0 Multiply (-1 + 6x) * (1 + 7x) (-1(1 + 7x) + 6x * (1 + 7x)) = 0 ((1 * -1 + 7x * -1) + 6x * (1 + 7x)) = 0 ((-1 + -7x) + 6x * (1 + 7x)) = 0 (-1 + -7x + (1 * 6x + 7x * 6x)) = 0 (-1 + -7x + (6x + 42x2)) = 0 Combine like terms: -7x + 6x = -1x (-1 + -1x + 42x2) = 0 Solving -1 + -1x + 42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -7x)(1 + -6x) = 0Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 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 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 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 = {-0.1428571429, 0.1666666667}
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