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Simplifying (7x + 1)(2 + -7x) = 0 Reorder the terms: (1 + 7x)(2 + -7x) = 0 Multiply (1 + 7x) * (2 + -7x) (1(2 + -7x) + 7x * (2 + -7x)) = 0 ((2 * 1 + -7x * 1) + 7x * (2 + -7x)) = 0 ((2 + -7x) + 7x * (2 + -7x)) = 0 (2 + -7x + (2 * 7x + -7x * 7x)) = 0 (2 + -7x + (14x + -49x2)) = 0 Combine like terms: -7x + 14x = 7x (2 + 7x + -49x2) = 0 Solving 2 + 7x + -49x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(1 + 7x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 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 = {0.2857142857, -0.1428571429}
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