x=8sinx+6cosx

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Solution for x=8sinx+6cosx equation: 


Simplifying
x = 8sinx + 6cosx

Reorder the terms:
x = 6cosx + 8insx

Solving
x = 6cosx + 8insx

Solving for variable 'x'.

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

Add '-6cosx' to each side of the equation.
-6cosx + x = 6cosx + -6cosx + 8insx

Combine like terms: 6cosx + -6cosx = 0
-6cosx + x = 0 + 8insx
-6cosx + x = 8insx

Add '-8insx' to each side of the equation.
-6cosx + -8insx + x = 8insx + -8insx

Combine like terms: 8insx + -8insx = 0
-6cosx + -8insx + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6cos + -8ins + 1) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-6cos + -8ins + 1)' equal to zero and attempt to solve:

Simplifying
-6cos + -8ins + 1 = 0

Reorder the terms:
1 + -6cos + -8ins = 0

Solving
1 + -6cos + -8ins = 0

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

Add '-1' to each side of the equation.
1 + -6cos + -1 + -8ins = 0 + -1

Reorder the terms:
1 + -1 + -6cos + -8ins = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6cos + -8ins = 0 + -1
-6cos + -8ins = 0 + -1

Combine like terms: 0 + -1 = -1
-6cos + -8ins = -1

Add '6cos' to each side of the equation.
-6cos + 6cos + -8ins = -1 + 6cos

Combine like terms: -6cos + 6cos = 0
0 + -8ins = -1 + 6cos
-8ins = -1 + 6cos

Add '8ins' to each side of the equation.
-8ins + 8ins = -1 + 6cos + 8ins

Combine like terms: -8ins + 8ins = 0
0 = -1 + 6cos + 8ins

Simplifying
0 = -1 + 6cos + 8ins

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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