7sen^2x+5sen(-x)cosx=2-2cos^2x

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Solution for 7sen^2x+5sen(-x)cosx=2-2cos^2x equation: 


Simplifying
7sen2x + 5sen(-1x) * cosx = 2 + -2cos2x

Remove parenthesis around (-1x)
7en2sx + 5ens * -1x * cosx = 2 + -2cos2x

Reorder the terms for easier multiplication:
7en2sx + 5 * -1ens * x * cosx = 2 + -2cos2x

Multiply 5 * -1
7en2sx + -5ens * x * cosx = 2 + -2cos2x

Multiply ens * x
7en2sx + -5ensx * cosx = 2 + -2cos2x

Multiply ensx * cosx
7en2sx + -5cenos2x2 = 2 + -2cos2x

Reorder the terms:
-5cenos2x2 + 7en2sx = 2 + -2cos2x

Solving
-5cenos2x2 + 7en2sx = 2 + -2cos2x

Solving for variable 'c'.

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

Add '2cos2x' to each side of the equation.
-5cenos2x2 + 2cos2x + 7en2sx = 2 + -2cos2x + 2cos2x

Combine like terms: -2cos2x + 2cos2x = 0
-5cenos2x2 + 2cos2x + 7en2sx = 2 + 0
-5cenos2x2 + 2cos2x + 7en2sx = 2

Add '-7en2sx' to each side of the equation.
-5cenos2x2 + 2cos2x + 7en2sx + -7en2sx = 2 + -7en2sx

Combine like terms: 7en2sx + -7en2sx = 0
-5cenos2x2 + 2cos2x + 0 = 2 + -7en2sx
-5cenos2x2 + 2cos2x = 2 + -7en2sx

Reorder the terms:
-2 + -5cenos2x2 + 2cos2x + 7en2sx = 2 + -7en2sx + -2 + 7en2sx

Reorder the terms:
-2 + -5cenos2x2 + 2cos2x + 7en2sx = 2 + -2 + -7en2sx + 7en2sx

Combine like terms: 2 + -2 = 0
-2 + -5cenos2x2 + 2cos2x + 7en2sx = 0 + -7en2sx + 7en2sx
-2 + -5cenos2x2 + 2cos2x + 7en2sx = -7en2sx + 7en2sx

Combine like terms: -7en2sx + 7en2sx = 0
-2 + -5cenos2x2 + 2cos2x + 7en2sx = 0

The solution to this equation could not be determined.

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