3sin^2(0.5x)+sin(0.5x)-3=0

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Solution for 3sin^2(0.5x)+sin(0.5x)-3=0 equation:


Simplifying
3sin2(0.5x) + sin(0.5x) + -3 = 0

Remove parenthesis around (0.5x)
3in2s * 0.5x + sin(0.5x) + -3 = 0

Reorder the terms for easier multiplication:
3 * 0.5in2s * x + sin(0.5x) + -3 = 0

Multiply 3 * 0.5
1.5in2s * x + sin(0.5x) + -3 = 0

Multiply in2s * x
1.5in2sx + sin(0.5x) + -3 = 0

Remove parenthesis around (0.5x)
1.5in2sx + ins * 0.5x + -3 = 0

Reorder the terms for easier multiplication:
1.5in2sx + 0.5ins * x + -3 = 0

Multiply ins * x
1.5in2sx + 0.5insx + -3 = 0

Reorder the terms:
-3 + 0.5insx + 1.5in2sx = 0

Solving
-3 + 0.5insx + 1.5in2sx = 0

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 + 0.5insx + 3 + 1.5in2sx = 0 + 3

Reorder the terms:
-3 + 3 + 0.5insx + 1.5in2sx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 0.5insx + 1.5in2sx = 0 + 3
0.5insx + 1.5in2sx = 0 + 3

Combine like terms: 0 + 3 = 3
0.5insx + 1.5in2sx = 3

Reorder the terms:
-3 + 0.5insx + 1.5in2sx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 0.5insx + 1.5in2sx = 0

The solution to this equation could not be determined.

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