4cos^2(2x)-7cos(2x)=0

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Solution for 4cos^2(2x)-7cos(2x)=0 equation: 


Simplifying
4cos2(2x) + -7cos(2x) = 0

Remove parenthesis around (2x)
4cos2 * 2x + -7cos(2x) = 0

Reorder the terms for easier multiplication:
4 * 2cos2 * x + -7cos(2x) = 0

Multiply 4 * 2
8cos2 * x + -7cos(2x) = 0

Multiply cos2 * x
8cos2x + -7cos(2x) = 0

Remove parenthesis around (2x)
8cos2x + -7cos * 2x = 0

Reorder the terms for easier multiplication:
8cos2x + -7 * 2cos * x = 0

Multiply -7 * 2
8cos2x + -14cos * x = 0

Multiply cos * x
8cos2x + -14cosx = 0

Reorder the terms:
-14cosx + 8cos2x = 0

Solving
-14cosx + 8cos2x = 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), '2cosx'.
2cosx(-7 + 4s) = 0

Ignore the factor 2.

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

Simplifying
cosx = 0

Solving
cosx = 0

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

Simplifying
cosx = 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 '(-7 + 4s)' equal to zero and attempt to solve:

Simplifying
-7 + 4s = 0

Solving
-7 + 4s = 0

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

Add '7' to each side of the equation.
-7 + 7 + 4s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4s = 0 + 7
4s = 0 + 7

Combine like terms: 0 + 7 = 7
4s = 7

Add '-4s' to each side of the equation.
4s + -4s = 7 + -4s

Combine like terms: 4s + -4s = 0
0 = 7 + -4s

Simplifying
0 = 7 + -4s

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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