10sin^2(x)-5sin(2x)-4=0

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Solution for 10sin^2(x)-5sin(2x)-4=0 equation: 


Simplifying
10sin2(x) + -5sin(2x) + -4 = 0

Multiply in2s * x
10in2sx + -5sin(2x) + -4 = 0

Remove parenthesis around (2x)
10in2sx + -5ins * 2x + -4 = 0

Reorder the terms for easier multiplication:
10in2sx + -5 * 2ins * x + -4 = 0

Multiply -5 * 2
10in2sx + -10ins * x + -4 = 0

Multiply ins * x
10in2sx + -10insx + -4 = 0

Reorder the terms:
-4 + -10insx + 10in2sx = 0

Solving
-4 + -10insx + 10in2sx = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + -10insx + 4 + 10in2sx = 0 + 4

Reorder the terms:
-4 + 4 + -10insx + 10in2sx = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -10insx + 10in2sx = 0 + 4
-10insx + 10in2sx = 0 + 4

Combine like terms: 0 + 4 = 4
-10insx + 10in2sx = 4

Reorder the terms:
-4 + -10insx + 10in2sx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -10insx + 10in2sx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -5insx + 5in2sx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -5insx + 5in2sx)' equal to zero and attempt to solve:

Simplifying
-2 + -5insx + 5in2sx = 0

Solving
-2 + -5insx + 5in2sx = 0

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

Add '2' to each side of the equation.
-2 + -5insx + 2 + 5in2sx = 0 + 2

Reorder the terms:
-2 + 2 + -5insx + 5in2sx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5insx + 5in2sx = 0 + 2
-5insx + 5in2sx = 0 + 2

Combine like terms: 0 + 2 = 2
-5insx + 5in2sx = 2

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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