a^2-14a+3=-10

Solution for a^2-14a+3=-10 equation:

Simplifying
a2 + -14a + 3 = -10

Reorder the terms:
3 + -14a + a2 = -10

Solving
3 + -14a + a2 = -10

Solving for variable 'a'.

Reorder the terms:
3 + 10 + -14a + a2 = -10 + 10

Combine like terms: 3 + 10 = 13
13 + -14a + a2 = -10 + 10

Combine like terms: -10 + 10 = 0
13 + -14a + a2 = 0

Factor a trinomial.
(1 + -1a)(13 + -1a) = 0

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

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

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

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

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

Simplifying
a = 1
Subproblem 2
Set the factor '(13 + -1a)' equal to zero and attempt to solve:

Simplifying
13 + -1a = 0

Solving
13 + -1a = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1a = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1a = 0 + -13
-1a = 0 + -13

Combine like terms: 0 + -13 = -13
-1a = -13

Divide each side by '-1'.
a = 13

Simplifying
a = 13
Solution
a = {1, 13}