3sin^2(x)=5sin(x+2)

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Solution for 3sin^2(x)=5sin(x+2) equation: 


Simplifying
3sin2(x) = 5sin(x + 2)

Multiply in2s * x
3in2sx = 5sin(x + 2)

Reorder the terms:
3in2sx = 5ins(2 + x)
3in2sx = (2 * 5ins + x * 5ins)
3in2sx = (10ins + 5insx)

Solving
3in2sx = 10ins + 5insx

Solving for variable 'i'.

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

Add '-10ins' to each side of the equation.
-10ins + 3in2sx = 10ins + -10ins + 5insx

Combine like terms: 10ins + -10ins = 0
-10ins + 3in2sx = 0 + 5insx
-10ins + 3in2sx = 5insx

Add '-5insx' to each side of the equation.
-10ins + -5insx + 3in2sx = 5insx + -5insx

Combine like terms: 5insx + -5insx = 0
-10ins + -5insx + 3in2sx = 0

Factor out the Greatest Common Factor (GCF), 'ins'.
ins(-10 + -5x + 3nx) = 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 '(-10 + -5x + 3nx)' equal to zero and attempt to solve:

Simplifying
-10 + -5x + 3nx = 0

Reorder the terms:
-10 + 3nx + -5x = 0

Solving
-10 + 3nx + -5x = 0

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

Add '10' to each side of the equation.
-10 + 3nx + 10 + -5x = 0 + 10

Reorder the terms:
-10 + 10 + 3nx + -5x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3nx + -5x = 0 + 10
3nx + -5x = 0 + 10

Combine like terms: 0 + 10 = 10
3nx + -5x = 10

Add '-3nx' to each side of the equation.
3nx + -3nx + -5x = 10 + -3nx

Combine like terms: 3nx + -3nx = 0
0 + -5x = 10 + -3nx
-5x = 10 + -3nx

Add '5x' to each side of the equation.
-5x + 5x = 10 + -3nx + 5x

Combine like terms: -5x + 5x = 0
0 = 10 + -3nx + 5x

Simplifying
0 = 10 + -3nx + 5x

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.

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