c^4-144=0

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Solution for c^4-144=0 equation:


Simplifying
c4 + -144 = 0

Reorder the terms:
-144 + c4 = 0

Solving
-144 + c4 = 0

Solving for variable 'c'.

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

Add '144' to each side of the equation.
-144 + 144 + c4 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + c4 = 0 + 144
c4 = 0 + 144

Combine like terms: 0 + 144 = 144
c4 = 144

Simplifying
c4 = 144

Reorder the terms:
-144 + c4 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + c4 = 0

Factor a difference between two squares.
(12 + c2)(-12 + c2) = 0

Subproblem 1

Set the factor '(12 + c2)' equal to zero and attempt to solve: Simplifying 12 + c2 = 0 Solving 12 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + c2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + c2 = 0 + -12 c2 = 0 + -12 Combine like terms: 0 + -12 = -12 c2 = -12 Simplifying c2 = -12 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-12 + c2)' equal to zero and attempt to solve: Simplifying -12 + c2 = 0 Solving -12 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + c2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + c2 = 0 + 12 c2 = 0 + 12 Combine like terms: 0 + 12 = 12 c2 = 12 Simplifying c2 = 12 Take the square root of each side: c = {-3.464101615, 3.464101615}

Solution

c = {-3.464101615, 3.464101615}

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