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Simplifying (7x + -1)(3x + 1) = 0 Reorder the terms: (-1 + 7x)(3x + 1) = 0 Reorder the terms: (-1 + 7x)(1 + 3x) = 0 Multiply (-1 + 7x) * (1 + 3x) (-1(1 + 3x) + 7x * (1 + 3x)) = 0 ((1 * -1 + 3x * -1) + 7x * (1 + 3x)) = 0 ((-1 + -3x) + 7x * (1 + 3x)) = 0 (-1 + -3x + (1 * 7x + 3x * 7x)) = 0 (-1 + -3x + (7x + 21x2)) = 0 Combine like terms: -3x + 7x = 4x (-1 + 4x + 21x2) = 0 Solving -1 + 4x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(1 + -7x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 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 = {-0.3333333333, 0.1428571429}
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