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Simplifying 3x2 + 4xy + 3y2x = 0 Reorder the terms: 4xy + 3xy2 + 3x2 = 0 Solving 4xy + 3xy2 + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4y + 3y2 + 3x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(4y + 3y2 + 3x)' equal to zero and attempt to solve: Simplifying 4y + 3y2 + 3x = 0 Reorder the terms: 3x + 4y + 3y2 = 0 Solving 3x + 4y + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x + 4y + -4y + 3y2 = 0 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + 3y2 = 0 + -4y 3x + 3y2 = 0 + -4y Remove the zero: 3x + 3y2 = -4y Add '-3y2' to each side of the equation. 3x + 3y2 + -3y2 = -4y + -3y2 Combine like terms: 3y2 + -3y2 = 0 3x + 0 = -4y + -3y2 3x = -4y + -3y2 Divide each side by '3'. x = -1.333333333y + -1y2 Simplifying x = -1.333333333y + -1y2Solution
x = {0, -1.333333333y + -1y2}
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