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Simplifying (5 + -1y)(5y + -2) = 0 Reorder the terms: (5 + -1y)(-2 + 5y) = 0 Multiply (5 + -1y) * (-2 + 5y) (5(-2 + 5y) + -1y * (-2 + 5y)) = 0 ((-2 * 5 + 5y * 5) + -1y * (-2 + 5y)) = 0 ((-10 + 25y) + -1y * (-2 + 5y)) = 0 (-10 + 25y + (-2 * -1y + 5y * -1y)) = 0 (-10 + 25y + (2y + -5y2)) = 0 Combine like terms: 25y + 2y = 27y (-10 + 27y + -5y2) = 0 Solving -10 + 27y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + y)(2 + -5y) = 0Subproblem 1
Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 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 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5Subproblem 2
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 = 0.4Solution
y = {5, 0.4}
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