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Simplifying (7x + 1)(1 + 7x) = 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 a trinomial. (1 + 7x)(1 + 7x) = 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 + 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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