4y^2-20y+25=(2y-5)

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Solution for 4y^2-20y+25=(2y-5) equation: 


Simplifying
4y2 + -20y + 25 = (2y + -5)

Reorder the terms:
25 + -20y + 4y2 = (2y + -5)

Reorder the terms:
25 + -20y + 4y2 = (-5 + 2y)

Remove parenthesis around (-5 + 2y)
25 + -20y + 4y2 = -5 + 2y

Solving
25 + -20y + 4y2 = -5 + 2y

Solving for variable 'y'.

Reorder the terms:
25 + 5 + -20y + -2y + 4y2 = -5 + 2y + 5 + -2y

Combine like terms: 25 + 5 = 30
30 + -20y + -2y + 4y2 = -5 + 2y + 5 + -2y

Combine like terms: -20y + -2y = -22y
30 + -22y + 4y2 = -5 + 2y + 5 + -2y

Reorder the terms:
30 + -22y + 4y2 = -5 + 5 + 2y + -2y

Combine like terms: -5 + 5 = 0
30 + -22y + 4y2 = 0 + 2y + -2y
30 + -22y + 4y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
30 + -22y + 4y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -11y + 2y2) = 0

Factor a trinomial.
2((5 + -2y)(3 + -1y)) = 0

Ignore the factor 2.

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

Simplifying
5 + -2y = 0

Solving
5 + -2y = 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 + -2y = 0 + -5

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

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

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

Simplifying
y = 2.5

Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {2.5, 3}

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