9y^2+17y+20=4-7y

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Solution for 9y^2+17y+20=4-7y equation: 


Simplifying
9y2 + 17y + 20 = 4 + -7y

Reorder the terms:
20 + 17y + 9y2 = 4 + -7y

Solving
20 + 17y + 9y2 = 4 + -7y

Solving for variable 'y'.

Reorder the terms:
20 + -4 + 17y + 7y + 9y2 = 4 + -7y + -4 + 7y

Combine like terms: 20 + -4 = 16
16 + 17y + 7y + 9y2 = 4 + -7y + -4 + 7y

Combine like terms: 17y + 7y = 24y
16 + 24y + 9y2 = 4 + -7y + -4 + 7y

Reorder the terms:
16 + 24y + 9y2 = 4 + -4 + -7y + 7y

Combine like terms: 4 + -4 = 0
16 + 24y + 9y2 = 0 + -7y + 7y
16 + 24y + 9y2 = -7y + 7y

Combine like terms: -7y + 7y = 0
16 + 24y + 9y2 = 0

Factor a trinomial.
(4 + 3y)(4 + 3y) = 0


Subproblem 1
Set the factor '(4 + 3y)' equal to zero and attempt to solve:

Simplifying
4 + 3y = 0

Solving
4 + 3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = 0 + -4
3y = 0 + -4

Combine like terms: 0 + -4 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333

Subproblem 2
Set the factor '(4 + 3y)' equal to zero and attempt to solve:

Simplifying
4 + 3y = 0

Solving
4 + 3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = 0 + -4
3y = 0 + -4

Combine like terms: 0 + -4 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333
Solution
y = {-1.333333333, -1.333333333}

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