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Simplifying (7x + 1)(-7x + -1) = 0 Reorder the terms: (1 + 7x)(-7x + -1) = 0 Reorder the terms: (1 + 7x)(-1 + -7x) = 0 Multiply (1 + 7x) * (-1 + -7x) (1(-1 + -7x) + 7x * (-1 + -7x)) = 0 ((-1 * 1 + -7x * 1) + 7x * (-1 + -7x)) = 0 ((-1 + -7x) + 7x * (-1 + -7x)) = 0 (-1 + -7x + (-1 * 7x + -7x * 7x)) = 0 (-1 + -7x + (-7x + -49x2)) = 0 Combine like terms: -7x + -7x = -14x (-1 + -14x + -49x2) = 0 Solving -1 + -14x + -49x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 14x + 49x2) = 0 Factor a trinomial. -1((1 + 7x)(1 + 7x)) = 0 Ignore the factor -1.Subproblem 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 + 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 = {-0.1428571429, -0.1428571429}
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