-30cot^2(x)+15cot(x)-120=0

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Solution for -30cot^2(x)+15cot(x)-120=0 equation: 


Simplifying
-30cot2(x) + 15cot(x) + -120 = 0

Multiply cot2 * x
-30cot2x + 15cot(x) + -120 = 0

Multiply cot * x
-30cot2x + 15cotx + -120 = 0

Reorder the terms:
-120 + 15cotx + -30cot2x = 0

Solving
-120 + 15cotx + -30cot2x = 0

Solving for variable 'c'.

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

Add '120' to each side of the equation.
-120 + 15cotx + 120 + -30cot2x = 0 + 120

Reorder the terms:
-120 + 120 + 15cotx + -30cot2x = 0 + 120

Combine like terms: -120 + 120 = 0
0 + 15cotx + -30cot2x = 0 + 120
15cotx + -30cot2x = 0 + 120

Combine like terms: 0 + 120 = 120
15cotx + -30cot2x = 120

Reorder the terms:
-120 + 15cotx + -30cot2x = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + 15cotx + -30cot2x = 0

Factor out the Greatest Common Factor (GCF), '15'.
15(-8 + cotx + -2cot2x) = 0

Ignore the factor 15.

Subproblem 1
Set the factor '(-8 + cotx + -2cot2x)' equal to zero and attempt to solve:

Simplifying
-8 + cotx + -2cot2x = 0

Solving
-8 + cotx + -2cot2x = 0

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

Add '8' to each side of the equation.
-8 + cotx + 8 + -2cot2x = 0 + 8

Reorder the terms:
-8 + 8 + cotx + -2cot2x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + cotx + -2cot2x = 0 + 8
cotx + -2cot2x = 0 + 8

Combine like terms: 0 + 8 = 8
cotx + -2cot2x = 8

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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