a^2-7a+25=3a

Solution for a^2-7a+25=3a equation:

Simplifying
a2 + -7a + 25 = 3a

Reorder the terms:
25 + -7a + a2 = 3a

Solving
25 + -7a + a2 = 3a

Solving for variable 'a'.

Reorder the terms:
25 + -7a + -3a + a2 = 3a + -3a

Combine like terms: -7a + -3a = -10a
25 + -10a + a2 = 3a + -3a

Combine like terms: 3a + -3a = 0
25 + -10a + a2 = 0

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

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

Simplifying
5 + -1a = 0

Solving
5 + -1a = 0

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

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

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

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

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

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

Simplifying
5 + -1a = 0

Solving
5 + -1a = 0

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

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

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

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

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

Simplifying
a = 5
Solution
a = {5, 5}