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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 = 13x (-1 + 13x + -42x2) = 0 Solving -1 + 13x + -42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + 6x)(1 + -7x) = 0Subproblem 1
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 = 0.1666666667Subproblem 2
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 = 0.1428571429Solution
x = {0.1666666667, 0.1428571429}
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