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Simplifying ((a)(a)) + (12.4)(12.4) = (15)(15) Multiply a * a (a2) + (12.4)(12.4) = (15)(15) a2 + (12.4)(12.4) = (15)(15) Multiply 12.4 * 12.4 a2 + 153.76 = (15)(15) Reorder the terms: 153.76 + a2 = (15)(15) Multiply 15 * 15 153.76 + a2 = 225 Solving 153.76 + a2 = 225 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-153.76' to each side of the equation. 153.76 + -153.76 + a2 = 225 + -153.76 Combine like terms: 153.76 + -153.76 = 0.00 0.00 + a2 = 225 + -153.76 a2 = 225 + -153.76 Combine like terms: 225 + -153.76 = 71.24 a2 = 71.24 Simplifying a2 = 71.24 Take the square root of each side: a = {-8.440379138, 8.440379138}
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