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Simplifying (7x + 2)(7x + 2) = 0 Reorder the terms: (2 + 7x)(7x + 2) = 0 Reorder the terms: (2 + 7x)(2 + 7x) = 0 Multiply (2 + 7x) * (2 + 7x) (2(2 + 7x) + 7x * (2 + 7x)) = 0 ((2 * 2 + 7x * 2) + 7x * (2 + 7x)) = 0 ((4 + 14x) + 7x * (2 + 7x)) = 0 (4 + 14x + (2 * 7x + 7x * 7x)) = 0 (4 + 14x + (14x + 49x2)) = 0 Combine like terms: 14x + 14x = 28x (4 + 28x + 49x2) = 0 Solving 4 + 28x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + 7x)(2 + 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 '(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 = -0.2857142857Solution
x = {-0.2857142857, -0.2857142857}
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