(2cosx-1)(cosx+2)=0

Simple and best practice solution for (2cosx-1)(cosx+2)=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 (2cosx-1)(cosx+2)=0 equation: 


Simplifying
(2cosx + -1)(cosx + 2) = 0

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

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

Multiply (-1 + 2cosx) * (2 + cosx)
(-1(2 + cosx) + 2cosx * (2 + cosx)) = 0
((2 * -1 + cosx * -1) + 2cosx * (2 + cosx)) = 0
((-2 + -1cosx) + 2cosx * (2 + cosx)) = 0
(-2 + -1cosx + (2 * 2cosx + cosx * 2cosx)) = 0
(-2 + -1cosx + (4cosx + 2c2o2s2x2)) = 0

Combine like terms: -1cosx + 4cosx = 3cosx
(-2 + 3cosx + 2c2o2s2x2) = 0

Solving
-2 + 3cosx + 2c2o2s2x2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-2 + -1cosx)(1 + -2cosx) = 0


Subproblem 1
Set the factor '(-2 + -1cosx)' equal to zero and attempt to solve:

Simplifying
-2 + -1cosx = 0

Solving
-2 + -1cosx = 0

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

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

Combine like terms: -2 + 2 = 0
0 + -1cosx = 0 + 2
-1cosx = 0 + 2

Combine like terms: 0 + 2 = 2
-1cosx = 2

Divide each side by '-1osx'.
c = -2o-1s-1x-1

Simplifying
c = -2o-1s-1x-1

Subproblem 2
Set the factor '(1 + -2cosx)' equal to zero and attempt to solve:

Simplifying
1 + -2cosx = 0

Solving
1 + -2cosx = 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 + -2cosx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2cosx = 0 + -1
-2cosx = 0 + -1

Combine like terms: 0 + -1 = -1
-2cosx = -1

Divide each side by '-2osx'.
c = 0.5o-1s-1x-1

Simplifying
c = 0.5o-1s-1x-1
Solution
c = {-2o-1s-1x-1, 0.5o-1s-1x-1}

See similar equations:

| -6/(-2) | | f(x)=3x^2+6x+-5 | | 32+9y=5 | | x(x^2+15)=0 | | 1/6y-1/2=1/6 | | -11=-6t | | 8t-8=2t+3 | | (1/8):(1/10):(1/6) | | (14+3(x))+y=90 | | 8(t-1)=3(t+12)-t | | 5-(4x+22)=3+5(x+5) | | 6-3(x-5)=3(x-1) | | 8+2w=6+10w | | (3x-5x-1)=0 | | 2y-7=y+4 | | 10x+5y=21 | | 7/10÷1/2 | | 7y+38=5y | | 9/20÷4/15 | | 4y+38=2y | | 21a^2-14a=0 | | 3z^2-12z+6=0 | | log8x=1/2 | | 2(3x)-5(3x+1)=31 | | -(28-3s)-(9s+1)=37 | | 32y-8(5y-3)=-24 | | 6a-3(3a-6)=30 | | (x-6)(x-1)=24 | | 2u^2-3u-1=0 | | Y=1287.9x+10 | | 6x+15=32 | | x(x^2-15)=0 |

Equations solver categories