4cos^5(x)*sinx-4cosx*sin^5(x)-3=-2sin^2(4x)

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Solution for 4cos^5(x)*sinx-4cosx*sin^5(x)-3=-2sin^2(4x) equation:


Simplifying
4cos5(x) * sinx + -4cosx * sin5(x) + -3 = -2sin2(4x)

Multiply cos5 * x
4cos5x * insx + -4cosx * sin5(x) + -3 = -2sin2(4x)

Multiply cos5x * insx
4cinos6x2 + -4cosx * sin5(x) + -3 = -2sin2(4x)

Multiply cosx * in5s
4cinos6x2 + -4cin5os2x * x + -3 = -2sin2(4x)

Multiply cin5os2x * x
4cinos6x2 + -4cin5os2x2 + -3 = -2sin2(4x)

Reorder the terms:
-3 + 4cinos6x2 + -4cin5os2x2 = -2sin2(4x)

Remove parenthesis around (4x)
-3 + 4cinos6x2 + -4cin5os2x2 = -2in2s * 4x

Reorder the terms for easier multiplication:
-3 + 4cinos6x2 + -4cin5os2x2 = -2 * 4in2s * x

Multiply -2 * 4
-3 + 4cinos6x2 + -4cin5os2x2 = -8in2s * x

Multiply in2s * x
-3 + 4cinos6x2 + -4cin5os2x2 = -8in2sx

Solving
-3 + 4cinos6x2 + -4cin5os2x2 = -8in2sx

Solving for variable 'c'.

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

Add '3' to each side of the equation.
-3 + 4cinos6x2 + 3 + -4cin5os2x2 = 3 + -8in2sx

Reorder the terms:
-3 + 3 + 4cinos6x2 + -4cin5os2x2 = 3 + -8in2sx

Combine like terms: -3 + 3 = 0
0 + 4cinos6x2 + -4cin5os2x2 = 3 + -8in2sx
4cinos6x2 + -4cin5os2x2 = 3 + -8in2sx

Reorder the terms:
-3 + 4cinos6x2 + -4cin5os2x2 + 8in2sx = 3 + -8in2sx + -3 + 8in2sx

Reorder the terms:
-3 + 4cinos6x2 + -4cin5os2x2 + 8in2sx = 3 + -3 + -8in2sx + 8in2sx

Combine like terms: 3 + -3 = 0
-3 + 4cinos6x2 + -4cin5os2x2 + 8in2sx = 0 + -8in2sx + 8in2sx
-3 + 4cinos6x2 + -4cin5os2x2 + 8in2sx = -8in2sx + 8in2sx

Combine like terms: -8in2sx + 8in2sx = 0
-3 + 4cinos6x2 + -4cin5os2x2 + 8in2sx = 0

The solution to this equation could not be determined.

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