(9y^2-4y+2)-(5y^2-4y+5)=

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

Simplifying
(9y2 + -4y + 2) + -1(5y2 + -4y + 5) = 0

Reorder the terms:
(2 + -4y + 9y2) + -1(5y2 + -4y + 5) = 0

Remove parenthesis around (2 + -4y + 9y2)
2 + -4y + 9y2 + -1(5y2 + -4y + 5) = 0

Reorder the terms:
2 + -4y + 9y2 + -1(5 + -4y + 5y2) = 0
2 + -4y + 9y2 + (5 * -1 + -4y * -1 + 5y2 * -1) = 0
2 + -4y + 9y2 + (-5 + 4y + -5y2) = 0

Reorder the terms:
2 + -5 + -4y + 4y + 9y2 + -5y2 = 0

Combine like terms: 2 + -5 = -3
-3 + -4y + 4y + 9y2 + -5y2 = 0

Combine like terms: -4y + 4y = 0
-3 + 0 + 9y2 + -5y2 = 0
-3 + 9y2 + -5y2 = 0

Combine like terms: 9y2 + -5y2 = 4y2
-3 + 4y2 = 0

Solving
-3 + 4y2 = 0

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 4y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4y2 = 0 + 3
4y2 = 0 + 3

Combine like terms: 0 + 3 = 3
4y2 = 3

Divide each side by '4'.
y2 = 0.75

Simplifying
y2 = 0.75

Take the square root of each side:
y = {-0.866025404, 0.866025404}