Sin(2x)cos(4x^2-2x)=0

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Solution for Sin(2x)cos(4x^2-2x)=0 equation: 


Simplifying
Sin(2x) * cos(4x2 + -2x) = 0

Remove parenthesis around (2x)
inS * 2x * cos(4x2 + -2x) = 0

Reorder the terms:
inS * 2x * cos(-2x + 4x2) = 0

Reorder the terms for easier multiplication:
2inS * x * cos(-2x + 4x2) = 0

Multiply inS * x
2inxS * cos(-2x + 4x2) = 0

Multiply inxS * cos
2cinosxS(-2x + 4x2) = 0
(-2x * 2cinosxS + 4x2 * 2cinosxS) = 0
(-4cinosx2S + 8cinosx3S) = 0

Solving
-4cinosx2S + 8cinosx3S = 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), '4cinosx2S'.
4cinosx2S(-1 + 2x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'cinosx2S' equal to zero and attempt to solve:

Simplifying
cinosx2S = 0

Solving
cinosx2S = 0

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

Simplifying
cinosx2S = 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 '(-1 + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + 2x = 0

Solving
-1 + 2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -2x

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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