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Simplifying ((5.8)(5.8)) + 16 = (c)(c) Multiply 5.8 * 5.8 (33.64) + 16 = (c)(c) 33.64 + 16 = (c)(c) Combine like terms: 33.64 + 16 = 49.64 49.64 = (c)(c) Multiply c * c 49.64 = c2 Solving 49.64 = 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. 49.64 + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 49.64 + -1c2 = 0 Add '-49.64' to each side of the equation. 49.64 + -49.64 + -1c2 = 0 + -49.64 Combine like terms: 49.64 + -49.64 = 0.00 0.00 + -1c2 = 0 + -49.64 -1c2 = 0 + -49.64 Combine like terms: 0 + -49.64 = -49.64 -1c2 = -49.64 Divide each side by '-1'. c2 = 49.64 Simplifying c2 = 49.64 Take the square root of each side: c = {-7.045565982, 7.045565982}
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