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Simplifying ((8)(8)) + ((5)(5)) = ((c)(c)) Multiply 8 * 8 (64) + ((5)(5)) = ((c)(c)) 64 + ((5)(5)) = ((c)(c)) Multiply 5 * 5 64 + (25) = ((c)(c)) 64 + 25 = ((c)(c)) Combine like terms: 64 + 25 = 89 89 = ((c)(c)) Multiply c * c 89 = (c2) 89 = c2 Solving 89 = 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. 89 + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 89 + -1c2 = 0 Add '-89' to each side of the equation. 89 + -89 + -1c2 = 0 + -89 Combine like terms: 89 + -89 = 0 0 + -1c2 = 0 + -89 -1c2 = 0 + -89 Combine like terms: 0 + -89 = -89 -1c2 = -89 Divide each side by '-1'. c2 = 89 Simplifying c2 = 89 Take the square root of each side: c = {-9.433981132, 9.433981132}
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