3y^2-5y+25=5y+2y^2

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Solution for 3y^2-5y+25=5y+2y^2 equation: 


Simplifying
3y2 + -5y + 25 = 5y + 2y2

Reorder the terms:
25 + -5y + 3y2 = 5y + 2y2

Solving
25 + -5y + 3y2 = 5y + 2y2

Solving for variable 'y'.

Reorder the terms:
25 + -5y + -5y + 3y2 + -2y2 = 5y + 2y2 + -5y + -2y2

Combine like terms: -5y + -5y = -10y
25 + -10y + 3y2 + -2y2 = 5y + 2y2 + -5y + -2y2

Combine like terms: 3y2 + -2y2 = 1y2
25 + -10y + 1y2 = 5y + 2y2 + -5y + -2y2

Reorder the terms:
25 + -10y + 1y2 = 5y + -5y + 2y2 + -2y2

Combine like terms: 5y + -5y = 0
25 + -10y + 1y2 = 0 + 2y2 + -2y2
25 + -10y + 1y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
25 + -10y + 1y2 = 0

Factor a trinomial.
(5 + -1y)(5 + -1y) = 0


Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5

Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {5, 5}

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