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Simplifying 24 * 24 + 18 * 18 = c * c Multiply 24 * 24 576 + 18 * 18 = c * c Multiply 18 * 18 576 + 324 = c * c Combine like terms: 576 + 324 = 900 900 = c * c Multiply c * c 900 = c2 Solving 900 = 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. 900 + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 900 + -1c2 = 0 Add '-900' to each side of the equation. 900 + -900 + -1c2 = 0 + -900 Combine like terms: 900 + -900 = 0 0 + -1c2 = 0 + -900 -1c2 = 0 + -900 Combine like terms: 0 + -900 = -900 -1c2 = -900 Divide each side by '-1'. c2 = 900 Simplifying c2 = 900 Take the square root of each side: c = {-30, 30}
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