0=cos(2x+10)

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Solution for 0=cos(2x+10) equation:


Simplifying
0 = cos(2x + 10)

Reorder the terms:
0 = cos(10 + 2x)
0 = (10 * cos + 2x * cos)
0 = (10cos + 2cosx)

Solving
0 = 10cos + 2cosx

Solving for variable 'c'.

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

Add '-10cos' to each side of the equation.
0 + -10cos = 10cos + -10cos + 2cosx
Remove the zero:
-10cos = 10cos + -10cos + 2cosx

Combine like terms: 10cos + -10cos = 0
-10cos = 0 + 2cosx
-10cos = 2cosx

Add '-2cosx' to each side of the equation.
-10cos + -2cosx = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-10cos + -2cosx = 0

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

Ignore the factor -2.

Subproblem 1

Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -1x 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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