(9-y)(5y-3)=0

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Solution for (9-y)(5y-3)=0 equation:


Simplifying
(9 + -1y)(5y + -3) = 0

Reorder the terms:
(9 + -1y)(-3 + 5y) = 0

Multiply (9 + -1y) * (-3 + 5y)
(9(-3 + 5y) + -1y * (-3 + 5y)) = 0
((-3 * 9 + 5y * 9) + -1y * (-3 + 5y)) = 0
((-27 + 45y) + -1y * (-3 + 5y)) = 0
(-27 + 45y + (-3 * -1y + 5y * -1y)) = 0
(-27 + 45y + (3y + -5y2)) = 0

Combine like terms: 45y + 3y = 48y
(-27 + 48y + -5y2) = 0

Solving
-27 + 48y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-9 + y)(3 + -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 '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6

Solution

y = {9, 0.6}

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