sin^2x=-sinx

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Solution for sin^2x=-sinx equation:


Simplifying
sin2x = -1sinx

Solving
in2sx = -1insx

Solving for variable 'i'.

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

Add 'insx' to each side of the equation.
insx + in2sx = -1insx + insx

Combine like terms: -1insx + insx = 0
insx + in2sx = 0

Factor out the Greatest Common Factor (GCF), 'insx'.
insx(1 + n) = 0

Subproblem 1

Set the factor 'insx' equal to zero and attempt to solve: Simplifying insx = 0 Solving insx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying insx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Add '-1n' to each side of the equation. n + -1n = -1 + -1n Combine like terms: n + -1n = 0 0 = -1 + -1n Simplifying 0 = -1 + -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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