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Simplifying ((20.3)(20.3)) + ((32)(32)) = ((c)(c)) Multiply 20.3 * 20.3 (412.09) + ((32)(32)) = ((c)(c)) 412.09 + ((32)(32)) = ((c)(c)) Multiply 32 * 32 412.09 + (1024) = ((c)(c)) 412.09 + 1024 = ((c)(c)) Combine like terms: 412.09 + 1024 = 1436.09 1436.09 = ((c)(c)) Multiply c * c 1436.09 = (c2) 1436.09 = c2 Solving 1436.09 = 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. 1436.09 + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 1436.09 + -1c2 = 0 Add '-1436.09' to each side of the equation. 1436.09 + -1436.09 + -1c2 = 0 + -1436.09 Combine like terms: 1436.09 + -1436.09 = 0.00 0.00 + -1c2 = 0 + -1436.09 -1c2 = 0 + -1436.09 Combine like terms: 0 + -1436.09 = -1436.09 -1c2 = -1436.09 Divide each side by '-1'. c2 = 1436.09 Simplifying c2 = 1436.09 Take the square root of each side: c = {-37.895778129, 37.895778129}
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