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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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