14a^2-21a^4b=

Solution for 14a^2-21a^4b= equation:

Simplifying
14a2 + -21a4b = 0

Solving
14a2 + -21a4b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7a2'.
7a2(2 + -3a2b) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(2 + -3a2b)' equal to zero and attempt to solve:

Simplifying
2 + -3a2b = 0

Solving
2 + -3a2b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3a2b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3a2b = 0 + -2
-3a2b = 0 + -2

Combine like terms: 0 + -2 = -2
-3a2b = -2

Divide each side by '-3b'.
a2 = 0.6666666667b-1

Simplifying
a2 = 0.6666666667b-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}