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Simplifying 4x2y(2xy + -3xy2 + 5x2) = 0 (2xy * 4x2y + -3xy2 * 4x2y + 5x2 * 4x2y) = 0 (8x3y2 + -12x3y3 + 20x4y) = 0 Solving 8x3y2 + -12x3y3 + 20x4y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x3y'. 4x3y(2y + -3y2 + 5x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x3y' equal to zero and attempt to solve: Simplifying x3y = 0 Solving x3y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2y + -3y2 + 5x)' equal to zero and attempt to solve: Simplifying 2y + -3y2 + 5x = 0 Reorder the terms: 5x + 2y + -3y2 = 0 Solving 5x + 2y + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 5x + 2y + -2y + -3y2 = 0 + -2y Combine like terms: 2y + -2y = 0 5x + 0 + -3y2 = 0 + -2y 5x + -3y2 = 0 + -2y Remove the zero: 5x + -3y2 = -2y Add '3y2' to each side of the equation. 5x + -3y2 + 3y2 = -2y + 3y2 Combine like terms: -3y2 + 3y2 = 0 5x + 0 = -2y + 3y2 5x = -2y + 3y2 Divide each side by '5'. x = -0.4y + 0.6y2 Simplifying x = -0.4y + 0.6y2Solution
x = {-0.4y + 0.6y2}
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