(5y-6)(9-y)=0

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Solution for (5y-6)(9-y)=0 equation:


Simplifying
(5y + -6)(9 + -1y) = 0

Reorder the terms:
(-6 + 5y)(9 + -1y) = 0

Multiply (-6 + 5y) * (9 + -1y)
(-6(9 + -1y) + 5y * (9 + -1y)) = 0
((9 * -6 + -1y * -6) + 5y * (9 + -1y)) = 0
((-54 + 6y) + 5y * (9 + -1y)) = 0
(-54 + 6y + (9 * 5y + -1y * 5y)) = 0
(-54 + 6y + (45y + -5y2)) = 0

Combine like terms: 6y + 45y = 51y
(-54 + 51y + -5y2) = 0

Solving
-54 + 51y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-9 + y)(6 + -5y) = 0

Subproblem 1

Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 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 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9

Subproblem 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 = 1.2

Solution

y = {9, 1.2}

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