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Simplifying (5y + -4)(5 + -1y) = 0 Reorder the terms: (-4 + 5y)(5 + -1y) = 0 Multiply (-4 + 5y) * (5 + -1y) (-4(5 + -1y) + 5y * (5 + -1y)) = 0 ((5 * -4 + -1y * -4) + 5y * (5 + -1y)) = 0 ((-20 + 4y) + 5y * (5 + -1y)) = 0 (-20 + 4y + (5 * 5y + -1y * 5y)) = 0 (-20 + 4y + (25y + -5y2)) = 0 Combine like terms: 4y + 25y = 29y (-20 + 29y + -5y2) = 0 Solving -20 + 29y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + y)(4 + -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 '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Solution
y = {5, 0.8}
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