4senx*cosx+2senx-2cosx-1=0

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Solution for 4senx*cosx+2senx-2cosx-1=0 equation:


Simplifying
4senx * cosx + 2senx + -2cosx + -1 = 0

Multiply ensx * cosx
4cenos2x2 + 2senx + -2cosx + -1 = 0

Reorder the terms:
-1 + 4cenos2x2 + -2cosx + 2ensx = 0

Solving
-1 + 4cenos2x2 + -2cosx + 2ensx = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 4cenos2x2 + -2cosx + 1 + 2ensx = 0 + 1

Reorder the terms:
-1 + 1 + 4cenos2x2 + -2cosx + 2ensx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4cenos2x2 + -2cosx + 2ensx = 0 + 1
4cenos2x2 + -2cosx + 2ensx = 0 + 1

Combine like terms: 0 + 1 = 1
4cenos2x2 + -2cosx + 2ensx = 1

Add '-2ensx' to each side of the equation.
4cenos2x2 + -2cosx + 2ensx + -2ensx = 1 + -2ensx

Combine like terms: 2ensx + -2ensx = 0
4cenos2x2 + -2cosx + 0 = 1 + -2ensx
4cenos2x2 + -2cosx = 1 + -2ensx

Reorder the terms:
-1 + 4cenos2x2 + -2cosx + 2ensx = 1 + -2ensx + -1 + 2ensx

Reorder the terms:
-1 + 4cenos2x2 + -2cosx + 2ensx = 1 + -1 + -2ensx + 2ensx

Combine like terms: 1 + -1 = 0
-1 + 4cenos2x2 + -2cosx + 2ensx = 0 + -2ensx + 2ensx
-1 + 4cenos2x2 + -2cosx + 2ensx = -2ensx + 2ensx

Combine like terms: -2ensx + 2ensx = 0
-1 + 4cenos2x2 + -2cosx + 2ensx = 0

The solution to this equation could not be determined.

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