(3y^2-9y+7)-(5y^2-9y+2)=

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Solution for (3y^2-9y+7)-(5y^2-9y+2)= equation: 


Simplifying
(3y2 + -9y + 7) + -1(5y2 + -9y + 2) = 0

Reorder the terms:
(7 + -9y + 3y2) + -1(5y2 + -9y + 2) = 0

Remove parenthesis around (7 + -9y + 3y2)
7 + -9y + 3y2 + -1(5y2 + -9y + 2) = 0

Reorder the terms:
7 + -9y + 3y2 + -1(2 + -9y + 5y2) = 0
7 + -9y + 3y2 + (2 * -1 + -9y * -1 + 5y2 * -1) = 0
7 + -9y + 3y2 + (-2 + 9y + -5y2) = 0

Reorder the terms:
7 + -2 + -9y + 9y + 3y2 + -5y2 = 0

Combine like terms: 7 + -2 = 5
5 + -9y + 9y + 3y2 + -5y2 = 0

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

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

Solving
5 + -2y2 = 0

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -2y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2y2 = 0 + -5
-2y2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2y2 = -5

Divide each side by '-2'.
y2 = 2.5

Simplifying
y2 = 2.5

Take the square root of each side:
y = {-1.58113883, 1.58113883}

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