4cos(x)-4cos(x)sin^2(x)=3cos(x)

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Solution for 4cos(x)-4cos(x)sin^2(x)=3cos(x) equation: 


Simplifying
4cos(x) + -4cos(x) * sin2(x) = 3cos(x)

Multiply cos * x
4cosx + -4cos(x) * sin2(x) = 3cos(x)

Multiply cos * x
4cosx + -4cosx * in2s * x = 3cos(x)

Multiply cosx * in2s
4cosx + -4cin2os2x * x = 3cos(x)

Multiply cin2os2x * x
4cosx + -4cin2os2x2 = 3cos(x)

Reorder the terms:
-4cin2os2x2 + 4cosx = 3cos(x)

Multiply cos * x
-4cin2os2x2 + 4cosx = 3cosx

Solving
-4cin2os2x2 + 4cosx = 3cosx

Solving for variable 'c'.

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

Add '-3cosx' to each side of the equation.
-4cin2os2x2 + 4cosx + -3cosx = 3cosx + -3cosx

Combine like terms: 4cosx + -3cosx = 1cosx
-4cin2os2x2 + 1cosx = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-4cin2os2x2 + 1cosx = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-4in2sx + 1) = 0


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 '(-4in2sx + 1)' equal to zero and attempt to solve:

Simplifying
-4in2sx + 1 = 0

Reorder the terms:
1 + -4in2sx = 0

Solving
1 + -4in2sx = 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 + -4in2sx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4in2sx = 0 + -1
-4in2sx = 0 + -1

Combine like terms: 0 + -1 = -1
-4in2sx = -1

Add '4in2sx' to each side of the equation.
-4in2sx + 4in2sx = -1 + 4in2sx

Combine like terms: -4in2sx + 4in2sx = 0
0 = -1 + 4in2sx

Simplifying
0 = -1 + 4in2sx

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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