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

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


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

Reorder the terms:
2ins(3 + x) = 3sin(x + -2)
(3 * 2ins + x * 2ins) = 3sin(x + -2)
(6ins + 2insx) = 3sin(x + -2)

Reorder the terms:
6ins + 2insx = 3ins(-2 + x)
6ins + 2insx = (-2 * 3ins + x * 3ins)
6ins + 2insx = (-6ins + 3insx)

Solving
6ins + 2insx = -6ins + 3insx

Solving for variable 'i'.

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

Add '6ins' to each side of the equation.
6ins + 6ins + 2insx = -6ins + 6ins + 3insx

Combine like terms: 6ins + 6ins = 12ins
12ins + 2insx = -6ins + 6ins + 3insx

Combine like terms: -6ins + 6ins = 0
12ins + 2insx = 0 + 3insx
12ins + 2insx = 3insx

Add '-3insx' to each side of the equation.
12ins + 2insx + -3insx = 3insx + -3insx

Combine like terms: 2insx + -3insx = -1insx
12ins + -1insx = 3insx + -3insx

Combine like terms: 3insx + -3insx = 0
12ins + -1insx = 0

Factor out the Greatest Common Factor (GCF), 'ins'.
ins(12 + -1x) = 0

Subproblem 1

Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ins = 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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Add 'x' to each side of the equation. -1x + x = -12 + x Combine like terms: -1x + x = 0 0 = -12 + x Simplifying 0 = -12 + x 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:

| (-n)-5=11 | | x=6cos^2t | | x=6cos^2 | | 4-y-7=13 | | 4-3m/2=1-5m/3 | | .054x+5.479=.04x+5.472 | | .20(y-5)+.02y=.12y-.05(80) | | x^4-59*x^2+289=0 | | 4n+5=65 | | .5x+.38(200)=.25(106) | | .5(x+20)+.5x=40 | | 4=-7y+3(y-4) | | .48(6)+.08x=.24(24+x) | | -7(w-7)=-9w+33 | | .25x+.15(4-x)=.4(-1) | | (7x-3)(6x+8)=0 | | 47/7=k | | -2(5s-6)-12=-3(6s+1)-3 | | 2p+2q=11 | | 33y(y-6)(y-6)=0 | | -2(5s-5)-10=-2(8s+3)-2 | | 8(v+4)2v=3(2v+2)-11 | | R=4g+z | | 13z/y | | -3+4-(-7)-14= | | 2(a+2a)=80 | | x=15+x | | 3(x-3)=14 | | -(3y+1)-(-2y-2)=-4 | | P/3-6=8 | | 2p-1/9=7 | | 3p-1/9=7 |

Equations solver categories