4cos^4(x-1)=0

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Solution for 4cos^4(x-1)=0 equation:


Simplifying
4cos4(x + -1) = 0

Reorder the terms:
4cos4(-1 + x) = 0
(-1 * 4cos4 + x * 4cos4) = 0
(-4cos4 + 4cos4x) = 0

Solving
-4cos4 + 4cos4x = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), '4cos4'.
4cos4(-1 + x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'cos4' equal to zero and attempt to solve: Simplifying cos4 = 0 Solving cos4 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos4 = 0 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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