7a^2-210=7a

Solution for 7a^2-210=7a equation:

Simplifying
7a2 + -210 = 7a

Reorder the terms:
-210 + 7a2 = 7a

Solving
-210 + 7a2 = 7a

Solving for variable 'a'.

Reorder the terms:
-210 + -7a + 7a2 = 7a + -7a

Combine like terms: 7a + -7a = 0
-210 + -7a + 7a2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-30 + -1a + a2) = 0

Factor a trinomial.
7((-5 + -1a)(6 + -1a)) = 0

Ignore the factor 7.
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 '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {-5, 6}