4sin(x)cos(x)(1-sin^2(x))=sin(4x)

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Solution for 4sin(x)cos(x)(1-sin^2(x))=sin(4x) equation:


Simplifying
4sin(x) * cos(x)(1 + -1sin2(x)) = sin(4x)

Multiply in2s * x
4ins * x * cos * x(1 + -1in2sx) = sin(4x)

Multiply ins * x
4insx * cos * x(1 + -1in2sx) = sin(4x)

Multiply insx * cos
4cinos2x * x(1 + -1in2sx) = sin(4x)

Multiply cinos2x * x
4cinos2x2(1 + -1in2sx) = sin(4x)
(1 * 4cinos2x2 + -1in2sx * 4cinos2x2) = sin(4x)
(4cinos2x2 + -4ci2n3os3x3) = sin(4x)

Remove parenthesis around (4x)
4cinos2x2 + -4ci2n3os3x3 = ins * 4x

Reorder the terms for easier multiplication:
4cinos2x2 + -4ci2n3os3x3 = 4ins * x

Multiply ins * x
4cinos2x2 + -4ci2n3os3x3 = 4insx

Solving
4cinos2x2 + -4ci2n3os3x3 = 4insx

Solving for variable 'c'.

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

Combine like terms: 4insx + -4insx = 0
4cinos2x2 + -4ci2n3os3x3 + -4insx = 0

Factor out the Greatest Common Factor (GCF), '4insx'.
4insx(cosx + -1cin2os2x2 + -1) = 0

Ignore the factor 4.

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

Simplifying
insx = 0

Solving
insx = 0

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

Add '-1insx' to each side of the equation.
insx + -1insx = 0 + -1insx
Remove the zero:
0 = -1insx

Simplifying
0 = -1insx

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 '(cosx + -1cin2os2x2 + -1)' equal to zero and attempt to solve:

Simplifying
cosx + -1cin2os2x2 + -1 = 0

Reorder the terms:
-1 + -1cin2os2x2 + cosx = 0

Solving
-1 + -1cin2os2x2 + cosx = 0

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

Add '1' to each side of the equation.
-1 + -1cin2os2x2 + 1 + cosx = 0 + 1

Reorder the terms:
-1 + 1 + -1cin2os2x2 + cosx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1cin2os2x2 + cosx = 0 + 1
-1cin2os2x2 + cosx = 0 + 1

Combine like terms: 0 + 1 = 1
-1cin2os2x2 + cosx = 1

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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