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Simplifying (-6y + 5)(-5y + 2) = 0 Reorder the terms: (5 + -6y)(-5y + 2) = 0 Reorder the terms: (5 + -6y)(2 + -5y) = 0 Multiply (5 + -6y) * (2 + -5y) (5(2 + -5y) + -6y * (2 + -5y)) = 0 ((2 * 5 + -5y * 5) + -6y * (2 + -5y)) = 0 ((10 + -25y) + -6y * (2 + -5y)) = 0 (10 + -25y + (2 * -6y + -5y * -6y)) = 0 (10 + -25y + (-12y + 30y2)) = 0 Combine like terms: -25y + -12y = -37y (10 + -37y + 30y2) = 0 Solving 10 + -37y + 30y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -5y)(5 + -6y) = 0Subproblem 1
Set the factor '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4Subproblem 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 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Solution
y = {0.4, 0.8333333333}
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