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Simplifying 3x3 + 2x2v + 3xy2 + 2y3 = 0 Reorder the terms: 2vx2 + 3xy2 + 3x3 + 2y3 = 0 Solving 2vx2 + 3xy2 + 3x3 + 2y3 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3xy2' to each side of the equation. 2vx2 + 3xy2 + 3x3 + -3xy2 + 2y3 = 0 + -3xy2 Reorder the terms: 2vx2 + 3xy2 + -3xy2 + 3x3 + 2y3 = 0 + -3xy2 Combine like terms: 3xy2 + -3xy2 = 0 2vx2 + 0 + 3x3 + 2y3 = 0 + -3xy2 2vx2 + 3x3 + 2y3 = 0 + -3xy2 Remove the zero: 2vx2 + 3x3 + 2y3 = -3xy2 Add '-3x3' to each side of the equation. 2vx2 + 3x3 + -3x3 + 2y3 = -3xy2 + -3x3 Combine like terms: 3x3 + -3x3 = 0 2vx2 + 0 + 2y3 = -3xy2 + -3x3 2vx2 + 2y3 = -3xy2 + -3x3 Add '-2y3' to each side of the equation. 2vx2 + 2y3 + -2y3 = -3xy2 + -3x3 + -2y3 Combine like terms: 2y3 + -2y3 = 0 2vx2 + 0 = -3xy2 + -3x3 + -2y3 2vx2 = -3xy2 + -3x3 + -2y3 Divide each side by '2x2'. v = -1.5x-1y2 + -1.5x + -1x-2y3 Simplifying v = -1.5x-1y2 + -1.5x + -1x-2y3 Reorder the terms: v = -1x-2y3 + -1.5x-1y2 + -1.5x
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