2x=-ctgx

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Solution for 2x=-ctgx equation:


Simplifying
2x = -1ctgx

Solving
2x = -1cgtx

Solving for variable 'x'.

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

Add 'cgtx' to each side of the equation.
cgtx + 2x = -1cgtx + cgtx

Combine like terms: -1cgtx + cgtx = 0
cgtx + 2x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(cgt + 2) = 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 '(cgt + 2)' equal to zero and attempt to solve: Simplifying cgt + 2 = 0 Reorder the terms: 2 + cgt = 0 Solving 2 + cgt = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + cgt = 0 + -2 Combine like terms: 2 + -2 = 0 0 + cgt = 0 + -2 cgt = 0 + -2 Combine like terms: 0 + -2 = -2 cgt = -2 Add '-1cgt' to each side of the equation. cgt + -1cgt = -2 + -1cgt Combine like terms: cgt + -1cgt = 0 0 = -2 + -1cgt Simplifying 0 = -2 + -1cgt 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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