(2x+7)o=cos(3x+8)

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Solution for (2x+7)o=cos(3x+8) equation: 


Simplifying
(2x + 7) * o = cos(3x + 8)

Reorder the terms:
(7 + 2x) * o = cos(3x + 8)

Reorder the terms for easier multiplication:
o(7 + 2x) = cos(3x + 8)
(7 * o + 2x * o) = cos(3x + 8)
(7o + 2ox) = cos(3x + 8)

Reorder the terms:
7o + 2ox = cos(8 + 3x)
7o + 2ox = (8 * cos + 3x * cos)
7o + 2ox = (8cos + 3cosx)

Solving
7o + 2ox = 8cos + 3cosx

Solving for variable 'o'.

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

Add '-8cos' to each side of the equation.
7o + -8cos + 2ox = 8cos + -8cos + 3cosx

Reorder the terms:
-8cos + 7o + 2ox = 8cos + -8cos + 3cosx

Combine like terms: 8cos + -8cos = 0
-8cos + 7o + 2ox = 0 + 3cosx
-8cos + 7o + 2ox = 3cosx

Add '-3cosx' to each side of the equation.
-8cos + 7o + -3cosx + 2ox = 3cosx + -3cosx

Reorder the terms:
-8cos + -3cosx + 7o + 2ox = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-8cos + -3cosx + 7o + 2ox = 0

Factor out the Greatest Common Factor (GCF), 'o'.
o(-8cs + -3csx + 7 + 2x) = 0


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

Simplifying
o = 0

Solving
o = 0

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

Simplifying
o = 0

Subproblem 2
Set the factor '(-8cs + -3csx + 7 + 2x)' equal to zero and attempt to solve:

Simplifying
-8cs + -3csx + 7 + 2x = 0

Reorder the terms:
7 + -8cs + -3csx + 2x = 0

Solving
7 + -8cs + -3csx + 2x = 0

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

Add '-7' to each side of the equation.
7 + -8cs + -3csx + -7 + 2x = 0 + -7

Reorder the terms:
7 + -7 + -8cs + -3csx + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8cs + -3csx + 2x = 0 + -7
-8cs + -3csx + 2x = 0 + -7

Combine like terms: 0 + -7 = -7
-8cs + -3csx + 2x = -7

Add '8cs' to each side of the equation.
-8cs + -3csx + 8cs + 2x = -7 + 8cs

Reorder the terms:
-8cs + 8cs + -3csx + 2x = -7 + 8cs

Combine like terms: -8cs + 8cs = 0
0 + -3csx + 2x = -7 + 8cs
-3csx + 2x = -7 + 8cs

Add '3csx' to each side of the equation.
-3csx + 3csx + 2x = -7 + 8cs + 3csx

Combine like terms: -3csx + 3csx = 0
0 + 2x = -7 + 8cs + 3csx
2x = -7 + 8cs + 3csx

Add '-2x' to each side of the equation.
2x + -2x = -7 + 8cs + 3csx + -2x

Combine like terms: 2x + -2x = 0
0 = -7 + 8cs + 3csx + -2x

Simplifying
0 = -7 + 8cs + 3csx + -2x

The solution to this equation could not be determined.

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

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