3x^2-5+6sinx*cosx=0

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Solution for 3x^2-5+6sinx*cosx=0 equation:


Simplifying
3x2 + -5 + 6sinx * cosx = 0

Multiply insx * cosx
3x2 + -5 + 6cinos2x2 = 0

Reorder the terms:
-5 + 6cinos2x2 + 3x2 = 0

Solving
-5 + 6cinos2x2 + 3x2 = 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 + 6cinos2x2 + 5 + 3x2 = 0 + 5

Reorder the terms:
-5 + 5 + 6cinos2x2 + 3x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6cinos2x2 + 3x2 = 0 + 5
6cinos2x2 + 3x2 = 0 + 5

Combine like terms: 0 + 5 = 5
6cinos2x2 + 3x2 = 5

Add '-3x2' to each side of the equation.
6cinos2x2 + 3x2 + -3x2 = 5 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6cinos2x2 + 0 = 5 + -3x2
6cinos2x2 = 5 + -3x2

Divide each side by '6inos2x2'.
c = 0.8333333333i-1n-1o-1s-2x-2 + -0.5i-1n-1o-1s-2

Simplifying
c = 0.8333333333i-1n-1o-1s-2x-2 + -0.5i-1n-1o-1s-2

Reorder the terms:
c = -0.5i-1n-1o-1s-2 + 0.8333333333i-1n-1o-1s-2x-2

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