c^4-7c^2+6=

Solution for c^4-7c^2+6= equation:

Simplifying
c4 + -7c2 + 6 = 0

Reorder the terms:
6 + -7c2 + c4 = 0

Solving
6 + -7c2 + c4 = 0

Solving for variable 'c'.

Factor a trinomial.
(1 + -1c2)(6 + -1c2) = 0

Factor a difference between two squares.
((1 + c)(1 + -1c))(6 + -1c2) = 0

Subproblem 1
Set the factor '(6 + -1c2)' equal to zero and attempt to solve:

Simplifying
6 + -1c2 = 0

Solving
6 + -1c2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1c2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1c2 = 0 + -6
-1c2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1c2 = -6

Divide each side by '-1'.
c2 = 6

Simplifying
c2 = 6

Take the square root of each side:
c = {-2.449489743, 2.449489743}
Subproblem 2
Set the factor '(1 + c)' equal to zero and attempt to solve:

Simplifying
1 + c = 0

Solving
1 + c = 0

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

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

Combine like terms: 1 + -1 = 0
0 + c = 0 + -1
c = 0 + -1

Combine like terms: 0 + -1 = -1
c = -1

Simplifying
c = -1
Subproblem 3
Set the factor '(1 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1c = 0 + -1
-1c = 0 + -1

Combine like terms: 0 + -1 = -1
-1c = -1

Divide each side by '-1'.
c = 1

Simplifying
c = 1
Solution
c = {-2.449489743, 2.449489743, -1, 1}