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Simplifying 4x2 + 8xy + -3xy2 = 0 Reorder the terms: 8xy + -3xy2 + 4x2 = 0 Solving 8xy + -3xy2 + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(8y + -3y2 + 4x) = 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 '(8y + -3y2 + 4x)' equal to zero and attempt to solve: Simplifying 8y + -3y2 + 4x = 0 Reorder the terms: 4x + 8y + -3y2 = 0 Solving 4x + 8y + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 4x + 8y + -8y + -3y2 = 0 + -8y Combine like terms: 8y + -8y = 0 4x + 0 + -3y2 = 0 + -8y 4x + -3y2 = 0 + -8y Remove the zero: 4x + -3y2 = -8y Add '3y2' to each side of the equation. 4x + -3y2 + 3y2 = -8y + 3y2 Combine like terms: -3y2 + 3y2 = 0 4x + 0 = -8y + 3y2 4x = -8y + 3y2 Divide each side by '4'. x = -2y + 0.75y2 Simplifying x = -2y + 0.75y2Solution
x = {0, -2y + 0.75y2}
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