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Simplifying (2x + -3y)(4x + 6y) = y Multiply (2x + -3y) * (4x + 6y) (2x * (4x + 6y) + -3y * (4x + 6y)) = y ((4x * 2x + 6y * 2x) + -3y * (4x + 6y)) = y Reorder the terms: ((12xy + 8x2) + -3y * (4x + 6y)) = y ((12xy + 8x2) + -3y * (4x + 6y)) = y (12xy + 8x2 + (4x * -3y + 6y * -3y)) = y (12xy + 8x2 + (-12xy + -18y2)) = y Reorder the terms: (12xy + -12xy + 8x2 + -18y2) = y Combine like terms: 12xy + -12xy = 0 (0 + 8x2 + -18y2) = y (8x2 + -18y2) = y Solving 8x2 + -18y2 = y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y2' to each side of the equation. 8x2 + -18y2 + 18y2 = y + 18y2 Combine like terms: -18y2 + 18y2 = 0 8x2 + 0 = y + 18y2 8x2 = y + 18y2 Divide each side by '8'. x2 = 0.125y + 2.25y2 Simplifying x2 = 0.125y + 2.25y2 Reorder the terms: x2 + -0.125y + -2.25y2 = 0.125y + -0.125y + 2.25y2 + -2.25y2 Combine like terms: 0.125y + -0.125y = 0.000 x2 + -0.125y + -2.25y2 = 0.000 + 2.25y2 + -2.25y2 x2 + -0.125y + -2.25y2 = 2.25y2 + -2.25y2 Combine like terms: 2.25y2 + -2.25y2 = 0.00 x2 + -0.125y + -2.25y2 = 0.00 The solution to this equation could not be determined.
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