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

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


Simplifying
(2 + -1y)(4y + 9) = 0

Reorder the terms:
(2 + -1y)(9 + 4y) = 0

Multiply (2 + -1y) * (9 + 4y)
(2(9 + 4y) + -1y * (9 + 4y)) = 0
((9 * 2 + 4y * 2) + -1y * (9 + 4y)) = 0
((18 + 8y) + -1y * (9 + 4y)) = 0
(18 + 8y + (9 * -1y + 4y * -1y)) = 0
(18 + 8y + (-9y + -4y2)) = 0

Combine like terms: 8y + -9y = -1y
(18 + -1y + -4y2) = 0

Solving
18 + -1y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -1y)(9 + 4y) = 0


Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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 = {2, -2.25}

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