11sin^2x+22sinx+11=0

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Solution for 11sin^2x+22sinx+11=0 equation:


Simplifying
11sin2x + 22sinx + 11 = 0

Reorder the terms:
11 + 22insx + 11in2sx = 0

Solving
11 + 22insx + 11in2sx = 0

Solving for variable 'i'.

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

Add '-11' to each side of the equation.
11 + 22insx + -11 + 11in2sx = 0 + -11

Reorder the terms:
11 + -11 + 22insx + 11in2sx = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 22insx + 11in2sx = 0 + -11
22insx + 11in2sx = 0 + -11

Combine like terms: 0 + -11 = -11
22insx + 11in2sx = -11

Reorder the terms:
11 + 22insx + 11in2sx = -11 + 11

Combine like terms: -11 + 11 = 0
11 + 22insx + 11in2sx = 0

Factor out the Greatest Common Factor (GCF), '11'.
11(1 + 2insx + in2sx) = 0

Ignore the factor 11.

Subproblem 1

Set the factor '(1 + 2insx + in2sx)' equal to zero and attempt to solve: Simplifying 1 + 2insx + in2sx = 0 Solving 1 + 2insx + in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2insx + -1 + in2sx = 0 + -1 Reorder the terms: 1 + -1 + 2insx + in2sx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2insx + in2sx = 0 + -1 2insx + in2sx = 0 + -1 Combine like terms: 0 + -1 = -1 2insx + in2sx = -1 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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