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Simplifying 80 * 80 = 35 * 35 + d * d Multiply 80 * 80 6400 = 35 * 35 + d * d Multiply 35 * 35 6400 = 1225 + d * d Multiply d * d 6400 = 1225 + d2 Solving 6400 = 1225 + d2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d2' to each side of the equation. 6400 + -1d2 = 1225 + d2 + -1d2 Combine like terms: d2 + -1d2 = 0 6400 + -1d2 = 1225 + 0 6400 + -1d2 = 1225 Add '-6400' to each side of the equation. 6400 + -6400 + -1d2 = 1225 + -6400 Combine like terms: 6400 + -6400 = 0 0 + -1d2 = 1225 + -6400 -1d2 = 1225 + -6400 Combine like terms: 1225 + -6400 = -5175 -1d2 = -5175 Divide each side by '-1'. d2 = 5175 Simplifying d2 = 5175 Take the square root of each side: d = {-71.93747285, 71.93747285}
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