10cos(x+5)=5

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Solution for 10cos(x+5)=5 equation:


Simplifying
10cos(x + 5) = 5

Reorder the terms:
10cos(5 + x) = 5
(5 * 10cos + x * 10cos) = 5
(50cos + 10cosx) = 5

Solving
50cos + 10cosx = 5

Solving for variable 'c'.

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

Reorder the terms:
-5 + 50cos + 10cosx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 50cos + 10cosx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + 10cos + 2cosx) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-1 + 10cos + 2cosx)' equal to zero and attempt to solve: Simplifying -1 + 10cos + 2cosx = 0 Solving -1 + 10cos + 2cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 10cos + 1 + 2cosx = 0 + 1 Reorder the terms: -1 + 1 + 10cos + 2cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10cos + 2cosx = 0 + 1 10cos + 2cosx = 0 + 1 Combine like terms: 0 + 1 = 1 10cos + 2cosx = 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.

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