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Simplifying (-7r + 2)(2 + 7r) = 0 Reorder the terms: (2 + -7r)(2 + 7r) = 0 Multiply (2 + -7r) * (2 + 7r) (2(2 + 7r) + -7r * (2 + 7r)) = 0 ((2 * 2 + 7r * 2) + -7r * (2 + 7r)) = 0 ((4 + 14r) + -7r * (2 + 7r)) = 0 (4 + 14r + (2 * -7r + 7r * -7r)) = 0 (4 + 14r + (-14r + -49r2)) = 0 Combine like terms: 14r + -14r = 0 (4 + 0 + -49r2) = 0 (4 + -49r2) = 0 Solving 4 + -49r2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -49r2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -49r2 = 0 + -4 -49r2 = 0 + -4 Combine like terms: 0 + -4 = -4 -49r2 = -4 Divide each side by '-49'. r2 = 0.08163265306 Simplifying r2 = 0.08163265306 Take the square root of each side: r = {-0.285714286, 0.285714286}
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