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Simplifying (5y + -6)(9 + y) = 0 Reorder the terms: (-6 + 5y)(9 + y) = 0 Multiply (-6 + 5y) * (9 + y) (-6(9 + y) + 5y * (9 + y)) = 0 ((9 * -6 + y * -6) + 5y * (9 + y)) = 0 ((-54 + -6y) + 5y * (9 + y)) = 0 (-54 + -6y + (9 * 5y + y * 5y)) = 0 (-54 + -6y + (45y + 5y2)) = 0 Combine like terms: -6y + 45y = 39y (-54 + 39y + 5y2) = 0 Solving -54 + 39y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -1y)(6 + -5y) = 0Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9Subproblem 2
Set the factor '(6 + -5y)' equal to zero and attempt to solve: Simplifying 6 + -5y = 0 Solving 6 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5y = 0 + -6 -5y = 0 + -6 Combine like terms: 0 + -6 = -6 -5y = -6 Divide each side by '-5'. y = 1.2 Simplifying y = 1.2Solution
y = {-9, 1.2}
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