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Simplifying (2x + -1y)(2x + y) = 15 Multiply (2x + -1y) * (2x + y) (2x * (2x + y) + -1y * (2x + y)) = 15 ((2x * 2x + y * 2x) + -1y * (2x + y)) = 15 Reorder the terms: ((2xy + 4x2) + -1y * (2x + y)) = 15 ((2xy + 4x2) + -1y * (2x + y)) = 15 (2xy + 4x2 + (2x * -1y + y * -1y)) = 15 (2xy + 4x2 + (-2xy + -1y2)) = 15 Reorder the terms: (2xy + -2xy + 4x2 + -1y2) = 15 Combine like terms: 2xy + -2xy = 0 (0 + 4x2 + -1y2) = 15 (4x2 + -1y2) = 15 Solving 4x2 + -1y2 = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 4x2 + -1y2 + y2 = 15 + y2 Combine like terms: -1y2 + y2 = 0 4x2 + 0 = 15 + y2 4x2 = 15 + y2 Divide each side by '4'. x2 = 3.75 + 0.25y2 Simplifying x2 = 3.75 + 0.25y2 Reorder the terms: -3.75 + x2 + -0.25y2 = 3.75 + 0.25y2 + -3.75 + -0.25y2 Reorder the terms: -3.75 + x2 + -0.25y2 = 3.75 + -3.75 + 0.25y2 + -0.25y2 Combine like terms: 3.75 + -3.75 = 0.00 -3.75 + x2 + -0.25y2 = 0.00 + 0.25y2 + -0.25y2 -3.75 + x2 + -0.25y2 = 0.25y2 + -0.25y2 Combine like terms: 0.25y2 + -0.25y2 = 0.00 -3.75 + x2 + -0.25y2 = 0.00 The solution to this equation could not be determined.
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