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Simplifying ((12)(12)) + ((10)(10)) = ((c)(c)) Multiply 12 * 12 (144) + ((10)(10)) = ((c)(c)) 144 + ((10)(10)) = ((c)(c)) Multiply 10 * 10 144 + (100) = ((c)(c)) 144 + 100 = ((c)(c)) Combine like terms: 144 + 100 = 244 244 = ((c)(c)) Multiply c * c 244 = (c2) 244 = c2 Solving 244 = c2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c2' to each side of the equation. 244 + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 244 + -1c2 = 0 Add '-244' to each side of the equation. 244 + -244 + -1c2 = 0 + -244 Combine like terms: 244 + -244 = 0 0 + -1c2 = 0 + -244 -1c2 = 0 + -244 Combine like terms: 0 + -244 = -244 -1c2 = -244 Divide each side by '-1'. c2 = 244 Simplifying c2 = 244 Take the square root of each side: c = {-15.620499352, 15.620499352}
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