Cot(45+x)cot(45-x)=

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Solution for Cot(45+x)cot(45-x)= equation: 


Simplifying
Cot(45 + x) * cot(45 + -1x) = 0

Reorder the terms for easier multiplication:
otC * cot(45 + x)(45 + -1x) = 0

Multiply otC * cot
co2t2C(45 + x)(45 + -1x) = 0

Multiply (45 + x) * (45 + -1x)
co2t2C(45(45 + -1x) + x(45 + -1x)) = 0
co2t2C((45 * 45 + -1x * 45) + x(45 + -1x)) = 0
co2t2C((2025 + -45x) + x(45 + -1x)) = 0
co2t2C(2025 + -45x + (45 * x + -1x * x)) = 0
co2t2C(2025 + -45x + (45x + -1x2)) = 0

Combine like terms: -45x + 45x = 0
co2t2C(2025 + 0 + -1x2) = 0
co2t2C(2025 + -1x2) = 0
(2025 * co2t2C + -1x2 * co2t2C) = 0
(2025co2t2C + -1co2t2x2C) = 0

Solving
2025co2t2C + -1co2t2x2C = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'co2t2C'.
co2t2C(2025 + -1x2) = 0

Factor a difference between two squares.
co2t2C((45 + x)(45 + -1x)) = 0


Subproblem 1
Set the factor 'co2t2C' equal to zero and attempt to solve:

Simplifying
co2t2C = 0

Solving
co2t2C = 0

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

Simplifying
co2t2C = 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 '(45 + x)' equal to zero and attempt to solve:

Simplifying
45 + x = 0

Solving
45 + x = 0

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

Add '-45' to each side of the equation.
45 + -45 + x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + x = 0 + -45
x = 0 + -45

Combine like terms: 0 + -45 = -45
x = -45

Add '-1x' to each side of the equation.
x + -1x = -45 + -1x

Combine like terms: x + -1x = 0
0 = -45 + -1x

Simplifying
0 = -45 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(45 + -1x)' equal to zero and attempt to solve:

Simplifying
45 + -1x = 0

Solving
45 + -1x = 0

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

Add '-45' to each side of the equation.
45 + -45 + -1x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1x = 0 + -45
-1x = 0 + -45

Combine like terms: 0 + -45 = -45
-1x = -45

Add 'x' to each side of the equation.
-1x + x = -45 + x

Combine like terms: -1x + x = 0
0 = -45 + x

Simplifying
0 = -45 + 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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