sin^2(2x)+3sin(2x)-2=0

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


Simplifying
sin2(2x) + 3sin(2x) + -2 = 0

Remove parenthesis around (2x)
in2s * 2x + 3sin(2x) + -2 = 0

Reorder the terms for easier multiplication:
2in2s * x + 3sin(2x) + -2 = 0

Multiply in2s * x
2in2sx + 3sin(2x) + -2 = 0

Remove parenthesis around (2x)
2in2sx + 3ins * 2x + -2 = 0

Reorder the terms for easier multiplication:
2in2sx + 3 * 2ins * x + -2 = 0

Multiply 3 * 2
2in2sx + 6ins * x + -2 = 0

Multiply ins * x
2in2sx + 6insx + -2 = 0

Reorder the terms:
-2 + 6insx + 2in2sx = 0

Solving
-2 + 6insx + 2in2sx = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 6insx + 2 + 2in2sx = 0 + 2

Reorder the terms:
-2 + 2 + 6insx + 2in2sx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 6insx + 2in2sx = 0 + 2
6insx + 2in2sx = 0 + 2

Combine like terms: 0 + 2 = 2
6insx + 2in2sx = 2

Reorder the terms:
-2 + 6insx + 2in2sx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 6insx + 2in2sx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 3insx + in2sx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 3insx + in2sx)' equal to zero and attempt to solve:

Simplifying
-1 + 3insx + in2sx = 0

Solving
-1 + 3insx + in2sx = 0

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

Add '1' to each side of the equation.
-1 + 3insx + 1 + in2sx = 0 + 1

Reorder the terms:
-1 + 1 + 3insx + in2sx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3insx + in2sx = 0 + 1
3insx + in2sx = 0 + 1

Combine like terms: 0 + 1 = 1
3insx + in2sx = 1

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:

| 10x^2+20x-45=8 | | 6x^2-20x-154=0 | | 7-4(x+6)= | | 4t-1=-3(3t-4) | | 12=-2y | | X/-x-90=0 | | 3(2x)-9x-4=2x+12 | | 4x+x^2=-2.5 | | y=4.5(x-27) | | sin^2(pi/6) | | 2(5x-6y)-(2x+3y)=equation | | (b-9)(b+9)= | | 4x^2-15x+36=6x+9 | | 3x+24=2x^2-7x+40 | | 12+5x=7x-12 | | 7x+2=2(7x+2)+8 | | 75-what+10=60 | | 3(-1+2r)+9= | | 3r-2=22 | | -3(3p+2)-2(5-8p)=3(5+2p) | | 2(x-1)(x+5)=2-x(2x+16) | | Y=-6x-y | | (2f-3)f=18 | | 9d+4=94 | | 4t-11=29 | | p-3/7=6 | | x^2-16+(x+4)(x+1)=0 | | 2v-3=0 | | 10m+1=13 | | 6e=2(e+6)-(5-4e) | | x/12=3/8 | | X^2=-3-4x |

Equations solver categories