sin^2(4x)+2*sin(4x)*cos(4x)+cos^2(4x)=

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Solution for sin^2(4x)+2*sin(4x)*cos(4x)+cos^2(4x)= equation: 


Simplifying
sin2(4x) + 2sin(4x) * cos(4x) + cos2(4x) = 0

Remove parenthesis around (4x)
in2s * 4x + 2sin(4x) * cos(4x) + cos2(4x) = 0

Reorder the terms for easier multiplication:
4in2s * x + 2sin(4x) * cos(4x) + cos2(4x) = 0

Multiply in2s * x
4in2sx + 2sin(4x) * cos(4x) + cos2(4x) = 0

Remove parenthesis around (4x)
4in2sx + 2ins * 4x * cos(4x) + cos2(4x) = 0

Remove parenthesis around (4x)
4in2sx + 2ins * 4x * cos * 4x + cos2(4x) = 0

Reorder the terms for easier multiplication:
4in2sx + 2 * 4 * 4ins * x * cos * x + cos2(4x) = 0

Multiply 2 * 4
4in2sx + 8 * 4ins * x * cos * x + cos2(4x) = 0

Multiply 8 * 4
4in2sx + 32ins * x * cos * x + cos2(4x) = 0

Multiply ins * x
4in2sx + 32insx * cos * x + cos2(4x) = 0

Multiply insx * cos
4in2sx + 32cinos2x * x + cos2(4x) = 0

Multiply cinos2x * x
4in2sx + 32cinos2x2 + cos2(4x) = 0

Remove parenthesis around (4x)
4in2sx + 32cinos2x2 + cos2 * 4x = 0

Reorder the terms for easier multiplication:
4in2sx + 32cinos2x2 + 4cos2 * x = 0

Multiply cos2 * x
4in2sx + 32cinos2x2 + 4cos2x = 0

Reorder the terms:
32cinos2x2 + 4cos2x + 4in2sx = 0

Solving
32cinos2x2 + 4cos2x + 4in2sx = 0

Solving for variable 'c'.

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

Add '-4in2sx' to each side of the equation.
32cinos2x2 + 4cos2x + 4in2sx + -4in2sx = 0 + -4in2sx

Combine like terms: 4in2sx + -4in2sx = 0
32cinos2x2 + 4cos2x + 0 = 0 + -4in2sx
32cinos2x2 + 4cos2x = 0 + -4in2sx
Remove the zero:
32cinos2x2 + 4cos2x = -4in2sx

Combine like terms: -4in2sx + 4in2sx = 0
32cinos2x2 + 4cos2x + 4in2sx = 0

Factor out the Greatest Common Factor (GCF), '4sx'.
4sx(8cinosx + cos + in2) = 0

Ignore the factor 4.

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

Simplifying
sx = 0

Solving
sx = 0

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

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

Simplifying
0 = -1sx

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 '(8cinosx + cos + in2)' equal to zero and attempt to solve:

Simplifying
8cinosx + cos + in2 = 0

Solving
8cinosx + cos + in2 = 0

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

Add '-1in2' to each side of the equation.
8cinosx + cos + in2 + -1in2 = 0 + -1in2

Combine like terms: in2 + -1in2 = 0
8cinosx + cos + 0 = 0 + -1in2
8cinosx + cos = 0 + -1in2
Remove the zero:
8cinosx + cos = -1in2

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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