y^2(4y+7n^2+2)-3y^2(-y+8)=

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Solution for y^2(4y+7n^2+2)-3y^2(-y+8)= equation: 


Simplifying
y2(4y + 7n2 + 2) + -3y2(-1y + 8) = 0

Reorder the terms:
y2(2 + 7n2 + 4y) + -3y2(-1y + 8) = 0
(2 * y2 + 7n2 * y2 + 4y * y2) + -3y2(-1y + 8) = 0

Reorder the terms:
(7n2y2 + 2y2 + 4y3) + -3y2(-1y + 8) = 0
(7n2y2 + 2y2 + 4y3) + -3y2(-1y + 8) = 0

Reorder the terms:
7n2y2 + 2y2 + 4y3 + -3y2(8 + -1y) = 0
7n2y2 + 2y2 + 4y3 + (8 * -3y2 + -1y * -3y2) = 0
7n2y2 + 2y2 + 4y3 + (-24y2 + 3y3) = 0

Reorder the terms:
7n2y2 + 2y2 + -24y2 + 4y3 + 3y3 = 0

Combine like terms: 2y2 + -24y2 = -22y2
7n2y2 + -22y2 + 4y3 + 3y3 = 0

Combine like terms: 4y3 + 3y3 = 7y3
7n2y2 + -22y2 + 7y3 = 0

Solving
7n2y2 + -22y2 + 7y3 = 0

Solving for variable 'n'.

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

Add '22y2' to each side of the equation.
7n2y2 + -22y2 + 22y2 + 7y3 = 0 + 22y2

Combine like terms: -22y2 + 22y2 = 0
7n2y2 + 0 + 7y3 = 0 + 22y2
7n2y2 + 7y3 = 0 + 22y2
Remove the zero:
7n2y2 + 7y3 = 22y2

Add '-7y3' to each side of the equation.
7n2y2 + 7y3 + -7y3 = 22y2 + -7y3

Combine like terms: 7y3 + -7y3 = 0
7n2y2 + 0 = 22y2 + -7y3
7n2y2 = 22y2 + -7y3

Divide each side by '7y2'.
n2 = 3.142857143 + -1y

Simplifying
n2 = 3.142857143 + -1y

Reorder the terms:
-3.142857143 + n2 + y = 3.142857143 + -1y + -3.142857143 + y

Reorder the terms:
-3.142857143 + n2 + y = 3.142857143 + -3.142857143 + -1y + y

Combine like terms: 3.142857143 + -3.142857143 = 0.000000000
-3.142857143 + n2 + y = 0.000000000 + -1y + y
-3.142857143 + n2 + y = -1y + y

Combine like terms: -1y + y = 0
-3.142857143 + n2 + y = 0

The solution to this equation could not be determined.

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