(sinx)(cos^2x)-(sinx)=-sin^3x

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Solution for (sinx)(cos^2x)-(sinx)=-sin^3x equation: 


Simplifying
(sinx)(cos2x) + -1(sinx) = -1sin3x

Multiply insx * cos2x
cinos3x2 + -1(sinx) = -1sin3x

Solving
cinos3x2 + -1insx = -1in3sx

Solving for variable 'c'.

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

Add 'insx' to each side of the equation.
cinos3x2 + -1insx + insx = insx + -1in3sx

Combine like terms: -1insx + insx = 0
cinos3x2 + 0 = insx + -1in3sx
cinos3x2 = insx + -1in3sx

Divide each side by 'inos3x2'.
c = o-1s-2x-1 + -1n2o-1s-2x-1

Simplifying
c = o-1s-2x-1 + -1n2o-1s-2x-1

Reorder the terms:
c = -1n2o-1s-2x-1 + o-1s-2x-1

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