9sin^2x-18sinx+3=-6

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Solution for 9sin^2x-18sinx+3=-6 equation:


Simplifying
9sin2x + -18sinx + 3 = -6

Reorder the terms:
3 + -18insx + 9in2sx = -6

Solving
3 + -18insx + 9in2sx = -6

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -18insx + -3 + 9in2sx = -6 + -3

Reorder the terms:
3 + -3 + -18insx + 9in2sx = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -18insx + 9in2sx = -6 + -3
-18insx + 9in2sx = -6 + -3

Combine like terms: -6 + -3 = -9
-18insx + 9in2sx = -9

Reorder the terms:
9 + -18insx + 9in2sx = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -18insx + 9in2sx = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(1 + -2insx + in2sx) = 0

Ignore the factor 9.

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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