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Simplifying y2 = 3x2 + 2xy Reorder the terms: y2 = 2xy + 3x2 Solving y2 = 2xy + 3x2 Solving for variable 'y'. Reorder the terms: -2xy + -3x2 + y2 = 2xy + 3x2 + -2xy + -3x2 Reorder the terms: -2xy + -3x2 + y2 = 2xy + -2xy + 3x2 + -3x2 Combine like terms: 2xy + -2xy = 0 -2xy + -3x2 + y2 = 0 + 3x2 + -3x2 -2xy + -3x2 + y2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2xy + -3x2 + y2 = 0 Factor a trinomial. (-1x + -1y)(3x + -1y) = 0Subproblem 1
Set the factor '(-1x + -1y)' equal to zero and attempt to solve: Simplifying -1x + -1y = 0 Solving -1x + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + -1y = 0 + x Combine like terms: -1x + x = 0 0 + -1y = 0 + x -1y = 0 + x Remove the zero: -1y = x Divide each side by '-1'. y = -1x Simplifying y = -1xSubproblem 2
Set the factor '(3x + -1y)' equal to zero and attempt to solve: Simplifying 3x + -1y = 0 Solving 3x + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + -1y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + -1y = 0 + -3x -1y = 0 + -3x Remove the zero: -1y = -3x Divide each side by '-1'. y = 3x Simplifying y = 3xSolution
y = {-1x, 3x}
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