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Simplifying 24x2y2 + -72xy3 + 54xy4 = 0 Reorder the terms: -72xy3 + 54xy4 + 24x2y2 = 0 Solving -72xy3 + 54xy4 + 24x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6xy2'. 6xy2(-12y + 9y2 + 4x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(-12y + 9y2 + 4x)' equal to zero and attempt to solve: Simplifying -12y + 9y2 + 4x = 0 Reorder the terms: 4x + -12y + 9y2 = 0 Solving 4x + -12y + 9y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 4x + -12y + 12y + 9y2 = 0 + 12y Combine like terms: -12y + 12y = 0 4x + 0 + 9y2 = 0 + 12y 4x + 9y2 = 0 + 12y Remove the zero: 4x + 9y2 = 12y Add '-9y2' to each side of the equation. 4x + 9y2 + -9y2 = 12y + -9y2 Combine like terms: 9y2 + -9y2 = 0 4x + 0 = 12y + -9y2 4x = 12y + -9y2 Divide each side by '4'. x = 3y + -2.25y2 Simplifying x = 3y + -2.25y2Solution
x = {3y + -2.25y2}
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