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Simplifying 4x2 + 6xy + 8xy2 = 0 Reorder the terms: 6xy + 8xy2 + 4x2 = 0 Solving 6xy + 8xy2 + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3y + 4y2 + 2x) = 0 Ignore the factor 2.Subproblem 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 '(3y + 4y2 + 2x)' equal to zero and attempt to solve: Simplifying 3y + 4y2 + 2x = 0 Reorder the terms: 2x + 3y + 4y2 = 0 Solving 2x + 3y + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 3y + -3y + 4y2 = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 + 4y2 = 0 + -3y 2x + 4y2 = 0 + -3y Remove the zero: 2x + 4y2 = -3y Add '-4y2' to each side of the equation. 2x + 4y2 + -4y2 = -3y + -4y2 Combine like terms: 4y2 + -4y2 = 0 2x + 0 = -3y + -4y2 2x = -3y + -4y2 Divide each side by '2'. x = -1.5y + -2y2 Simplifying x = -1.5y + -2y2Solution
x = {0, -1.5y + -2y2}
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