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Simplifying (7q + -5)(7q + 5) = 0 Reorder the terms: (-5 + 7q)(7q + 5) = 0 Reorder the terms: (-5 + 7q)(5 + 7q) = 0 Multiply (-5 + 7q) * (5 + 7q) (-5(5 + 7q) + 7q * (5 + 7q)) = 0 ((5 * -5 + 7q * -5) + 7q * (5 + 7q)) = 0 ((-25 + -35q) + 7q * (5 + 7q)) = 0 (-25 + -35q + (5 * 7q + 7q * 7q)) = 0 (-25 + -35q + (35q + 49q2)) = 0 Combine like terms: -35q + 35q = 0 (-25 + 0 + 49q2) = 0 (-25 + 49q2) = 0 Solving -25 + 49q2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 49q2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 49q2 = 0 + 25 49q2 = 0 + 25 Combine like terms: 0 + 25 = 25 49q2 = 25 Divide each side by '49'. q2 = 0.5102040816 Simplifying q2 = 0.5102040816 Take the square root of each side: q = {-0.714285714, 0.714285714}
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