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Simplifying 3y = xe5y Solving 3y = e5xy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1e5xy' to each side of the equation. -1e5xy + 3y = e5xy + -1e5xy Combine like terms: e5xy + -1e5xy = 0 -1e5xy + 3y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-1e5x + 3) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-1e5x + 3)' equal to zero and attempt to solve: Simplifying -1e5x + 3 = 0 Reorder the terms: 3 + -1e5x = 0 Solving 3 + -1e5x = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1e5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1e5x = 0 + -3 -1e5x = 0 + -3 Combine like terms: 0 + -3 = -3 -1e5x = -3 Add 'e5x' to each side of the equation. -1e5x + e5x = -3 + e5x Combine like terms: -1e5x + e5x = 0 0 = -3 + e5x Simplifying 0 = -3 + e5x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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