4cosx+6cos^3x+6sin^3x=0

Simple and best practice solution for 4cosx+6cos^3x+6sin^3x=0 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 4cosx+6cos^3x+6sin^3x=0 equation: 


Simplifying
4cosx + 6cos3x + 6sin3x = 0

Solving
4cosx + 6cos3x + 6in3sx = 0

Solving for variable 'c'.

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

Add '-6in3sx' to each side of the equation.
4cosx + 6cos3x + 6in3sx + -6in3sx = 0 + -6in3sx

Combine like terms: 6in3sx + -6in3sx = 0
4cosx + 6cos3x + 0 = 0 + -6in3sx
4cosx + 6cos3x = 0 + -6in3sx
Remove the zero:
4cosx + 6cos3x = -6in3sx

Combine like terms: -6in3sx + 6in3sx = 0
4cosx + 6cos3x + 6in3sx = 0

Factor out the Greatest Common Factor (GCF), '2sx'.
2sx(2co + 3cos2 + 3in3) = 0

Ignore the factor 2.

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

Simplifying
sx = 0

Solving
sx = 0

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

Add '-1sx' to each side of the equation.
sx + -1sx = 0 + -1sx
Remove the zero:
0 = -1sx

Simplifying
0 = -1sx

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 '(2co + 3cos2 + 3in3)' equal to zero and attempt to solve:

Simplifying
2co + 3cos2 + 3in3 = 0

Solving
2co + 3cos2 + 3in3 = 0

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

Add '-3in3' to each side of the equation.
2co + 3cos2 + 3in3 + -3in3 = 0 + -3in3

Combine like terms: 3in3 + -3in3 = 0
2co + 3cos2 + 0 = 0 + -3in3
2co + 3cos2 = 0 + -3in3
Remove the zero:
2co + 3cos2 = -3in3

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:

| 7x^2+14x+24=0 | | x-8x^2=7 | | 14-22y=18x | | 0=-2y+10-6x | | 20=-10x-10y | | 2(x+7)11= | | -4y-11x=36 | | 10(x+2)=5(x+8) | | .5x^2-.5= | | -11x=-20+9y | | -11x=-20+9yu | | 3(t-3)=13 | | 4x+22=4x | | -4-3n=-10 | | -7x+6y=31 | | 9x^2+48x+64= | | 49=3x+y | | -9+5y=-4x | | 4n+11=8 | | 2(x-3)=x+5 | | 3x-5y=17 | | 5-2n=11 | | 4y-3x=13-2x+y | | -11y-4x=15 | | 2=.3h-3-0.75h | | (x-4)(x+6)=11 | | 30=40+2n | | -16y=22+6x | | -48=-57+8-y | | a-29/11=a+4/(-3) | | 36=-18y-22x | | 2(5a+1)=2(a+1) |

Equations solver categories