14a^2=2a

Solution for 14a^2=2a equation:

Simplifying
14a2 = 2a

Solving
14a2 = 2a

Solving for variable 'a'.

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

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

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-1 + 7a) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-1 + 7a)' equal to zero and attempt to solve:

Simplifying
-1 + 7a = 0

Solving
-1 + 7a = 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 + 7a = 0 + 1

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

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

Divide each side by '7'.
a = 0.1428571429

Simplifying
a = 0.1428571429
Solution
a = {0, 0.1428571429}