sin^2x+4sinx*cosx+5=0

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Solution for sin^2x+4sinx*cosx+5=0 equation: 


Simplifying
sin2x + 4sinx * cosx + 5 = 0

Multiply insx * cosx
in2sx + 4cinos2x2 + 5 = 0

Reorder the terms:
5 + 4cinos2x2 + in2sx = 0

Solving
5 + 4cinos2x2 + in2sx = 0

Solving for variable 'c'.

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

Add '-5' to each side of the equation.
5 + 4cinos2x2 + -5 + in2sx = 0 + -5

Reorder the terms:
5 + -5 + 4cinos2x2 + in2sx = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4cinos2x2 + in2sx = 0 + -5
4cinos2x2 + in2sx = 0 + -5

Combine like terms: 0 + -5 = -5
4cinos2x2 + in2sx = -5

Add '-1in2sx' to each side of the equation.
4cinos2x2 + in2sx + -1in2sx = -5 + -1in2sx

Combine like terms: in2sx + -1in2sx = 0
4cinos2x2 + 0 = -5 + -1in2sx
4cinos2x2 = -5 + -1in2sx

Divide each side by '4inos2x2'.
c = -1.25i-1n-1o-1s-2x-2 + -0.25no-1s-1x-1

Simplifying
c = -1.25i-1n-1o-1s-2x-2 + -0.25no-1s-1x-1

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