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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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