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Simplifying y(x) = x2ln(x) Multiply y * x xy = x2ln(x) Multiply lnx2 * x xy = lnx3 Solving xy = lnx3 Solving for variable 'x'. Reorder the terms: -1lnx3 + xy = lnx3 + -1lnx3 Combine like terms: lnx3 + -1lnx3 = 0 -1lnx3 + xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1lnx2 + y) = 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 '(-1lnx2 + y)' equal to zero and attempt to solve: Simplifying -1lnx2 + y = 0 Solving -1lnx2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1lnx2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -1lnx2 + 0 = 0 + -1y -1lnx2 = 0 + -1y Remove the zero: -1lnx2 = -1y Divide each side by '-1ln'. x2 = l-1n-1y Simplifying x2 = l-1n-1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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