4*cos^3*(x)=cos*(3*x)+3*cos*(x)

Simple and best practice solution for 4*cos^3*(x)=cos*(3*x)+3*cos*(x) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4*cos^3*(x)=cos*(3*x)+3*cos*(x) equation: 


Simplifying
4cos3(x) = cos(3x) + 3cos(x)

Multiply cos3 * x
4cos3x = cos(3x) + 3cos(x)

Remove parenthesis around (3x)
4cos3x = cos * 3x + 3cos(x)

Reorder the terms for easier multiplication:
4cos3x = 3cos * x + 3cos(x)

Multiply cos * x
4cos3x = 3cosx + 3cos(x)

Multiply cos * x
4cos3x = 3cosx + 3cosx

Combine like terms: 3cosx + 3cosx = 6cosx
4cos3x = 6cosx

Solving
4cos3x = 6cosx

Solving for variable 'c'.

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

Add '-6cosx' to each side of the equation.
-6cosx + 4cos3x = 6cosx + -6cosx

Combine like terms: 6cosx + -6cosx = 0
-6cosx + 4cos3x = 0

Factor out the Greatest Common Factor (GCF), '2cosx'.
2cosx(-3 + 2s2) = 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 '(-3 + 2s2)' equal to zero and attempt to solve:

Simplifying
-3 + 2s2 = 0

Solving
-3 + 2s2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2s2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2s2 = 0 + 3
2s2 = 0 + 3

Combine like terms: 0 + 3 = 3
2s2 = 3

Add '-2s2' to each side of the equation.
2s2 + -2s2 = 3 + -2s2

Combine like terms: 2s2 + -2s2 = 0
0 = 3 + -2s2

Simplifying
0 = 3 + -2s2

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.

See similar equations:

| x/455=177/71 | | 10/(x^1/11) | | 20x^3-33x^2+7x= | | y-2=1(x-(-1)) | | 4*cos^3(x)= | | x+5y-z=2 | | 8m-17=63 | | (x-2)/2=3x-1 | | 11(15)= | | (8u^7-16u^3)/4u^3 | | 4X^2-18x+8= | | (12/18)x=40/(x-4) | | z^2+12z+36=-2z | | 8y^2-22y+5=0 | | 6a(3a-4b)= | | 5x^2-2x-30=0 | | 2x+24-6x-8=10 | | g(x)=x/x^2-16 | | 4cos^3(x)=cos(3x)+3cos(x) | | X+9.40X= | | 5w^2=-9w-5 | | 9x^2-32=6x | | 69.5(8.75)= | | 9x^2-6x-32=0 | | 50x+80y=650 | | 8-24x=0 | | -16t^2+96t+4= | | 15.5+19+16.25+18.75= | | -16tsquared+96t+4= | | 2/3x*15=17 | | .667c+7=1.6c-2 | | 15-x=16 |

Equations solver categories