a^2-14a+51=2

Solution for a^2-14a+51=2 equation:

Simplifying
a2 + -14a + 51 = 2

Reorder the terms:
51 + -14a + a2 = 2

Solving
51 + -14a + a2 = 2

Solving for variable 'a'.

Reorder the terms:
51 + -2 + -14a + a2 = 2 + -2

Combine like terms: 51 + -2 = 49
49 + -14a + a2 = 2 + -2

Combine like terms: 2 + -2 = 0
49 + -14a + a2 = 0

Factor a trinomial.
(7 + -1a)(7 + -1a) = 0

Subproblem 1
Set the factor '(7 + -1a)' equal to zero and attempt to solve:

Simplifying
7 + -1a = 0

Solving
7 + -1a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 0 + -7
-1a = 0 + -7

Combine like terms: 0 + -7 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7
Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve:

Simplifying
7 + -1a = 0

Solving
7 + -1a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 0 + -7
-1a = 0 + -7

Combine like terms: 0 + -7 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7
Solution
a = {7, 7}