10sin^2-3sinx*cosx-3=0

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Solution for 10sin^2-3sinx*cosx-3=0 equation:


Simplifying
10sin2 + -3sinx * cosx + -3 = 0

Multiply insx * cosx
10in2s + -3cinos2x2 + -3 = 0

Reorder the terms:
-3 + -3cinos2x2 + 10in2s = 0

Solving
-3 + -3cinos2x2 + 10in2s = 0

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 + -3cinos2x2 + 3 + 10in2s = 0 + 3

Reorder the terms:
-3 + 3 + -3cinos2x2 + 10in2s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -3cinos2x2 + 10in2s = 0 + 3
-3cinos2x2 + 10in2s = 0 + 3

Combine like terms: 0 + 3 = 3
-3cinos2x2 + 10in2s = 3

Add '-10in2s' to each side of the equation.
-3cinos2x2 + 10in2s + -10in2s = 3 + -10in2s

Combine like terms: 10in2s + -10in2s = 0
-3cinos2x2 + 0 = 3 + -10in2s
-3cinos2x2 = 3 + -10in2s

Divide each side by '-3inos2x2'.
c = -1i-1n-1o-1s-2x-2 + 3.333333333no-1s-1x-2

Simplifying
c = -1i-1n-1o-1s-2x-2 + 3.333333333no-1s-1x-2

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