(9x)=cos(11x)

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Solution for (9x)=cos(11x) equation:


Simplifying
(9x) = cos(11x)

Remove parenthesis around (11x)
(9x) = cos * 11x

Reorder the terms for easier multiplication:
(9x) = 11cos * x

Multiply cos * x
(9x) = 11cosx

Solving
(9x) = 11cosx

Solving for variable 'x'.

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

Add '-11cosx' to each side of the equation.
-11cosx + (9x) = 11cosx + -11cosx

Combine like terms: 11cosx + -11cosx = 0
-11cosx + (9x) = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11cos + 9) = 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 '(-11cos + 9)' equal to zero and attempt to solve: Simplifying -11cos + 9 = 0 Reorder the terms: 9 + -11cos = 0 Solving 9 + -11cos = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -11cos = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -11cos = 0 + -9 -11cos = 0 + -9 Combine like terms: 0 + -9 = -9 -11cos = -9 Add '11cos' to each side of the equation. -11cos + 11cos = -9 + 11cos Combine like terms: -11cos + 11cos = 0 0 = -9 + 11cos Simplifying 0 = -9 + 11cos 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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