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Simplifying (7a + 2)(7a + -2) = 0 Reorder the terms: (2 + 7a)(7a + -2) = 0 Reorder the terms: (2 + 7a)(-2 + 7a) = 0 Multiply (2 + 7a) * (-2 + 7a) (2(-2 + 7a) + 7a * (-2 + 7a)) = 0 ((-2 * 2 + 7a * 2) + 7a * (-2 + 7a)) = 0 ((-4 + 14a) + 7a * (-2 + 7a)) = 0 (-4 + 14a + (-2 * 7a + 7a * 7a)) = 0 (-4 + 14a + (-14a + 49a2)) = 0 Combine like terms: 14a + -14a = 0 (-4 + 0 + 49a2) = 0 (-4 + 49a2) = 0 Solving -4 + 49a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 49a2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 49a2 = 0 + 4 49a2 = 0 + 4 Combine like terms: 0 + 4 = 4 49a2 = 4 Divide each side by '49'. a2 = 0.08163265306 Simplifying a2 = 0.08163265306 Take the square root of each side: a = {-0.285714286, 0.285714286}
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