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Simplifying 0 = 18xy2 + -24x2y Solving 0 = 18xy2 + -24x2y Solving for variable 'x'. Remove the zero: -18xy2 + 24x2y = 18xy2 + -24x2y + -18xy2 + 24x2y Reorder the terms: -18xy2 + 24x2y = 18xy2 + -18xy2 + -24x2y + 24x2y Combine like terms: 18xy2 + -18xy2 = 0 -18xy2 + 24x2y = 0 + -24x2y + 24x2y -18xy2 + 24x2y = -24x2y + 24x2y Combine like terms: -24x2y + 24x2y = 0 -18xy2 + 24x2y = 0 Factor out the Greatest Common Factor (GCF), '6xy'. 6xy(-3y + 4x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(-3y + 4x)' equal to zero and attempt to solve: Simplifying -3y + 4x = 0 Reorder the terms: 4x + -3y = 0 Solving 4x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 4x + 0 = 0 + 3y 4x = 0 + 3y Remove the zero: 4x = 3y Divide each side by '4'. x = 0.75y Simplifying x = 0.75ySolution
x = {0.75y}
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