7c^4-2c^2=

Solution for 7c^4-2c^2= equation:

Simplifying
7c4 + -2c2 = 0

Reorder the terms:
-2c2 + 7c4 = 0

Solving
-2c2 + 7c4 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c2'.
c2(-2 + 7c2) = 0

Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve:

Simplifying
c2 = 0

Solving
c2 = 0

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

Simplifying
c2 = 0

Take the square root of each side:
c = {0}
Subproblem 2
Set the factor '(-2 + 7c2)' equal to zero and attempt to solve:

Simplifying
-2 + 7c2 = 0

Solving
-2 + 7c2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + 7c2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7c2 = 0 + 2
7c2 = 0 + 2

Combine like terms: 0 + 2 = 2
7c2 = 2

Divide each side by '7'.
c2 = 0.2857142857

Simplifying
c2 = 0.2857142857

Take the square root of each side:
c = {-0.534522484, 0.534522484}
Solution
c = {0, -0.534522484, 0.534522484}