0=5cos(x-3)

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Solution for 0=5cos(x-3) equation:


Simplifying
0 = 5cos(x + -3)

Reorder the terms:
0 = 5cos(-3 + x)
0 = (-3 * 5cos + x * 5cos)
0 = (-15cos + 5cosx)

Solving
0 = -15cos + 5cosx

Solving for variable 'c'.

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

Add '15cos' to each side of the equation.
0 + 15cos = -15cos + 15cos + 5cosx
Remove the zero:
15cos = -15cos + 15cos + 5cosx

Combine like terms: -15cos + 15cos = 0
15cos = 0 + 5cosx
15cos = 5cosx

Add '-5cosx' to each side of the equation.
15cos + -5cosx = 5cosx + -5cosx

Combine like terms: 5cosx + -5cosx = 0
15cos + -5cosx = 0

Factor out the Greatest Common Factor (GCF), '5cos'.
5cos(3 + -1x) = 0

Ignore the factor 5.

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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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