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Simplifying (50x + -9y)(50x + 9y) = n Multiply (50x + -9y) * (50x + 9y) (50x * (50x + 9y) + -9y * (50x + 9y)) = n ((50x * 50x + 9y * 50x) + -9y * (50x + 9y)) = n Reorder the terms: ((450xy + 2500x2) + -9y * (50x + 9y)) = n ((450xy + 2500x2) + -9y * (50x + 9y)) = n (450xy + 2500x2 + (50x * -9y + 9y * -9y)) = n (450xy + 2500x2 + (-450xy + -81y2)) = n Reorder the terms: (450xy + -450xy + 2500x2 + -81y2) = n Combine like terms: 450xy + -450xy = 0 (0 + 2500x2 + -81y2) = n (2500x2 + -81y2) = n Solving 2500x2 + -81y2 = n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81y2' to each side of the equation. 2500x2 + -81y2 + 81y2 = n + 81y2 Combine like terms: -81y2 + 81y2 = 0 2500x2 + 0 = n + 81y2 2500x2 = n + 81y2 Divide each side by '2500'. x2 = 0.0004n + 0.0324y2 Simplifying x2 = 0.0004n + 0.0324y2 Reorder the terms: -0.0004n + x2 + -0.0324y2 = 0.0004n + 0.0324y2 + -0.0004n + -0.0324y2 Reorder the terms: -0.0004n + x2 + -0.0324y2 = 0.0004n + -0.0004n + 0.0324y2 + -0.0324y2 Combine like terms: 0.0004n + -0.0004n = 0.0000 -0.0004n + x2 + -0.0324y2 = 0.0000 + 0.0324y2 + -0.0324y2 -0.0004n + x2 + -0.0324y2 = 0.0324y2 + -0.0324y2 Combine like terms: 0.0324y2 + -0.0324y2 = 0.0000 -0.0004n + x2 + -0.0324y2 = 0.0000 The solution to this equation could not be determined.
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