3a^2=14a

Solution for 3a^2=14a equation:

Simplifying
3a2 = 14a

Solving
3a2 = 14a

Solving for variable 'a'.

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

Combine like terms: 14a + -14a = 0
-14a + 3a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-14 + 3a) = 0

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 '(-14 + 3a)' equal to zero and attempt to solve:

Simplifying
-14 + 3a = 0

Solving
-14 + 3a = 0

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

Add '14' to each side of the equation.
-14 + 14 + 3a = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 3a = 0 + 14
3a = 0 + 14

Combine like terms: 0 + 14 = 14
3a = 14

Divide each side by '3'.
a = 4.666666667

Simplifying
a = 4.666666667
Solution
a = {0, 4.666666667}