(4y-9)(5y-2)=0

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Solution for (4y-9)(5y-2)=0 equation: 


Simplifying
(4y + -9)(5y + -2) = 0

Reorder the terms:
(-9 + 4y)(5y + -2) = 0

Reorder the terms:
(-9 + 4y)(-2 + 5y) = 0

Multiply (-9 + 4y) * (-2 + 5y)
(-9(-2 + 5y) + 4y * (-2 + 5y)) = 0
((-2 * -9 + 5y * -9) + 4y * (-2 + 5y)) = 0
((18 + -45y) + 4y * (-2 + 5y)) = 0
(18 + -45y + (-2 * 4y + 5y * 4y)) = 0
(18 + -45y + (-8y + 20y2)) = 0

Combine like terms: -45y + -8y = -53y
(18 + -53y + 20y2) = 0

Solving
18 + -53y + 20y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -5y)(9 + -4y) = 0


Subproblem 1
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 = 0.4

Subproblem 2
Set the factor '(9 + -4y)' equal to zero and attempt to solve:

Simplifying
9 + -4y = 0

Solving
9 + -4y = 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 + -4y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4y = 0 + -9
-4y = 0 + -9

Combine like terms: 0 + -9 = -9
-4y = -9

Divide each side by '-4'.
y = 2.25

Simplifying
y = 2.25
Solution
y = {0.4, 2.25}

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