-sin^2x=2sinx+3

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Solution for -sin^2x=2sinx+3 equation:


Simplifying
-1sin2x = 2sinx + 3

Reorder the terms:
-1in2sx = 3 + 2insx

Solving
-1in2sx = 3 + 2insx

Solving for variable 'i'.

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

Add '-2insx' to each side of the equation.
-2insx + -1in2sx = 3 + 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
-2insx + -1in2sx = 3 + 0
-2insx + -1in2sx = 3

Reorder the terms:
-3 + -2insx + -1in2sx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -2insx + -1in2sx = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 2insx + in2sx) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + 2insx + in2sx)' equal to zero and attempt to solve: Simplifying 3 + 2insx + in2sx = 0 Solving 3 + 2insx + in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2insx + -3 + in2sx = 0 + -3 Reorder the terms: 3 + -3 + 2insx + in2sx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2insx + in2sx = 0 + -3 2insx + in2sx = 0 + -3 Combine like terms: 0 + -3 = -3 2insx + in2sx = -3 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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