a^2-10a+25=49

Solution for a^2-10a+25=49 equation:

Simplifying
a2 + -10a + 25 = 49

Reorder the terms:
25 + -10a + a2 = 49

Solving
25 + -10a + a2 = 49

Solving for variable 'a'.

Reorder the terms:
25 + -49 + -10a + a2 = 49 + -49

Combine like terms: 25 + -49 = -24
-24 + -10a + a2 = 49 + -49

Combine like terms: 49 + -49 = 0
-24 + -10a + a2 = 0

Factor a trinomial.
(-2 + -1a)(12 + -1a) = 0

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

Simplifying
-2 + -1a = 0

Solving
-2 + -1a = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1a = 0 + 2
-1a = 0 + 2

Combine like terms: 0 + 2 = 2
-1a = 2

Divide each side by '-1'.
a = -2

Simplifying
a = -2
Subproblem 2
Set the factor '(12 + -1a)' equal to zero and attempt to solve:

Simplifying
12 + -1a = 0

Solving
12 + -1a = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1a = 0 + -12
-1a = 0 + -12

Combine like terms: 0 + -12 = -12
-1a = -12

Divide each side by '-1'.
a = 12

Simplifying
a = 12
Solution
a = {-2, 12}