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Simplifying (10x + -9y)(10x + 9y) = n Multiply (10x + -9y) * (10x + 9y) (10x * (10x + 9y) + -9y * (10x + 9y)) = n ((10x * 10x + 9y * 10x) + -9y * (10x + 9y)) = n Reorder the terms: ((90xy + 100x2) + -9y * (10x + 9y)) = n ((90xy + 100x2) + -9y * (10x + 9y)) = n (90xy + 100x2 + (10x * -9y + 9y * -9y)) = n (90xy + 100x2 + (-90xy + -81y2)) = n Reorder the terms: (90xy + -90xy + 100x2 + -81y2) = n Combine like terms: 90xy + -90xy = 0 (0 + 100x2 + -81y2) = n (100x2 + -81y2) = n Solving 100x2 + -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. 100x2 + -81y2 + 81y2 = n + 81y2 Combine like terms: -81y2 + 81y2 = 0 100x2 + 0 = n + 81y2 100x2 = n + 81y2 Divide each side by '100'. x2 = 0.01n + 0.81y2 Simplifying x2 = 0.01n + 0.81y2 Reorder the terms: -0.01n + x2 + -0.81y2 = 0.01n + 0.81y2 + -0.01n + -0.81y2 Reorder the terms: -0.01n + x2 + -0.81y2 = 0.01n + -0.01n + 0.81y2 + -0.81y2 Combine like terms: 0.01n + -0.01n = 0.00 -0.01n + x2 + -0.81y2 = 0.00 + 0.81y2 + -0.81y2 -0.01n + x2 + -0.81y2 = 0.81y2 + -0.81y2 Combine like terms: 0.81y2 + -0.81y2 = 0.00 -0.01n + x2 + -0.81y2 = 0.00 The solution to this equation could not be determined.
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