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Simplifying 5y(6Y) + -5y(5) = 0 Remove parenthesis around (6Y) 5y * 6Y + -5y(5) = 0 Reorder the terms for easier multiplication: 5 * 6y * Y + -5y(5) = 0 Multiply 5 * 6 30y * Y + -5y(5) = 0 Multiply y * Y 30yY + -5y(5) = 0 Reorder the terms for easier multiplication: 30yY + -5 * 5y = 0 Multiply -5 * 5 30yY + -25y = 0 Reorder the terms: -25y + 30yY = 0 Solving -25y + 30yY = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5y'. 5y(-5 + 6Y) = 0 Ignore the factor 5.Subproblem 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 '(-5 + 6Y)' equal to zero and attempt to solve: Simplifying -5 + 6Y = 0 Solving -5 + 6Y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6Y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6Y = 0 + 5 6Y = 0 + 5 Combine like terms: 0 + 5 = 5 6Y = 5 Add '-6Y' to each side of the equation. 6Y + -6Y = 5 + -6Y Combine like terms: 6Y + -6Y = 0 0 = 5 + -6Y Simplifying 0 = 5 + -6Y 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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