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Simplifying (9c + -7w)(9c + 7w) = 0 Multiply (9c + -7w) * (9c + 7w) (9c * (9c + 7w) + -7w * (9c + 7w)) = 0 ((9c * 9c + 7w * 9c) + -7w * (9c + 7w)) = 0 Reorder the terms: ((63cw + 81c2) + -7w * (9c + 7w)) = 0 ((63cw + 81c2) + -7w * (9c + 7w)) = 0 (63cw + 81c2 + (9c * -7w + 7w * -7w)) = 0 (63cw + 81c2 + (-63cw + -49w2)) = 0 Reorder the terms: (63cw + -63cw + 81c2 + -49w2) = 0 Combine like terms: 63cw + -63cw = 0 (0 + 81c2 + -49w2) = 0 (81c2 + -49w2) = 0 Solving 81c2 + -49w2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '49w2' to each side of the equation. 81c2 + -49w2 + 49w2 = 0 + 49w2 Combine like terms: -49w2 + 49w2 = 0 81c2 + 0 = 0 + 49w2 81c2 = 0 + 49w2 Remove the zero: 81c2 = 49w2 Divide each side by '81'. c2 = 0.6049382716w2 Simplifying c2 = 0.6049382716w2 Take the square root of each side: c = {-0.777777778w, 0.777777778w}
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