(2sin(3x)-1)(cos(2x)+1)=0

Simple and best practice solution for (2sin(3x)-1)(cos(2x)+1)=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 (2sin(3x)-1)(cos(2x)+1)=0 equation:


Simplifying
(2sin(3x) + -1)(cos(2x) + 1) = 0

Remove parenthesis around (3x)
(2ins * 3x + -1)(cos(2x) + 1) = 0

Reorder the terms for easier multiplication:
(2 * 3ins * x + -1)(cos(2x) + 1) = 0

Multiply 2 * 3
(6ins * x + -1)(cos(2x) + 1) = 0

Multiply ins * x
(6insx + -1)(cos(2x) + 1) = 0

Reorder the terms:
(-1 + 6insx)(cos(2x) + 1) = 0

Remove parenthesis around (2x)
(-1 + 6insx)(cos * 2x + 1) = 0

Reorder the terms for easier multiplication:
(-1 + 6insx)(2cos * x + 1) = 0

Multiply cos * x
(-1 + 6insx)(2cosx + 1) = 0

Reorder the terms:
(-1 + 6insx)(1 + 2cosx) = 0

Multiply (-1 + 6insx) * (1 + 2cosx)
(-1(1 + 2cosx) + 6insx * (1 + 2cosx)) = 0
((1 * -1 + 2cosx * -1) + 6insx * (1 + 2cosx)) = 0
((-1 + -2cosx) + 6insx * (1 + 2cosx)) = 0
(-1 + -2cosx + (1 * 6insx + 2cosx * 6insx)) = 0

Reorder the terms:
(-1 + -2cosx + (12cinos2x2 + 6insx)) = 0
(-1 + -2cosx + (12cinos2x2 + 6insx)) = 0

Reorder the terms:
(-1 + 12cinos2x2 + -2cosx + 6insx) = 0
(-1 + 12cinos2x2 + -2cosx + 6insx) = 0

Solving
-1 + 12cinos2x2 + -2cosx + 6insx = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 12cinos2x2 + -2cosx + 1 + 6insx = 0 + 1

Reorder the terms:
-1 + 1 + 12cinos2x2 + -2cosx + 6insx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 12cinos2x2 + -2cosx + 6insx = 0 + 1
12cinos2x2 + -2cosx + 6insx = 0 + 1

Combine like terms: 0 + 1 = 1
12cinos2x2 + -2cosx + 6insx = 1

Add '-6insx' to each side of the equation.
12cinos2x2 + -2cosx + 6insx + -6insx = 1 + -6insx

Combine like terms: 6insx + -6insx = 0
12cinos2x2 + -2cosx + 0 = 1 + -6insx
12cinos2x2 + -2cosx = 1 + -6insx

Reorder the terms:
-1 + 12cinos2x2 + -2cosx + 6insx = 1 + -6insx + -1 + 6insx

Reorder the terms:
-1 + 12cinos2x2 + -2cosx + 6insx = 1 + -1 + -6insx + 6insx

Combine like terms: 1 + -1 = 0
-1 + 12cinos2x2 + -2cosx + 6insx = 0 + -6insx + 6insx
-1 + 12cinos2x2 + -2cosx + 6insx = -6insx + 6insx

Combine like terms: -6insx + 6insx = 0
-1 + 12cinos2x2 + -2cosx + 6insx = 0

The solution to this equation could not be determined.

See similar equations:

| x+x+2=168 | | 2w+2(3w+1)=38 | | 3k+2=k-6 | | 5x+6-7=2 | | 15/6-4 | | 40x+2(1.75x)=696 | | ((x^16))^(1/2)/((4x^8))^(1/2) | | t+4=24 | | 3c+5=6c-7 | | 5z^2-25=0 | | 10x^2-3x=2 | | (4-9i)+(4+10i)= | | 4b+10=b+1 | | 4.5r=261 | | 10p+11=5(2p+3)-1 | | 3x+18+27=90 | | 16t^2=984 | | 5w-3/3=9 | | h(-5)= | | (3-2i)-(12-6i)= | | 12x-47=61+6x | | 4/5=x/5k | | 4s=600 | | 17r^2-14r=-7 | | 27=15y | | 9(2-a)+15=33 | | Ln7/ln10 | | h(-5)=4x^2-5 | | 379.94=r^2*3.14 | | 15+3s=600 | | 379.94=r^2*3.1 | | 15/2.50 |

Equations solver categories