10sin^2(x)+10cos(x)sin(x)=4

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Solution for 10sin^2(x)+10cos(x)sin(x)=4 equation: 


Simplifying
10sin2(x) + 10cos(x) * sin(x) = 4

Multiply in2s * x
10in2sx + 10cos(x) * sin(x) = 4

Multiply cos * x
10in2sx + 10cosx * ins * x = 4

Multiply cosx * ins
10in2sx + 10cinos2x * x = 4

Multiply cinos2x * x
10in2sx + 10cinos2x2 = 4

Reorder the terms:
10cinos2x2 + 10in2sx = 4

Solving
10cinos2x2 + 10in2sx = 4

Solving for variable 'c'.

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

Add '-10in2sx' to each side of the equation.
10cinos2x2 + 10in2sx + -10in2sx = 4 + -10in2sx

Combine like terms: 10in2sx + -10in2sx = 0
10cinos2x2 + 0 = 4 + -10in2sx
10cinos2x2 = 4 + -10in2sx

Divide each side by '10inos2x2'.
c = 0.4i-1n-1o-1s-2x-2 + -1no-1s-1x-1

Simplifying
c = 0.4i-1n-1o-1s-2x-2 + -1no-1s-1x-1

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