12sin^2(x)-14sin(x)+4=0

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Solution for 12sin^2(x)-14sin(x)+4=0 equation: 


Simplifying
12sin2(x) + -14sin(x) + 4 = 0

Multiply in2s * x
12in2sx + -14sin(x) + 4 = 0

Multiply ins * x
12in2sx + -14insx + 4 = 0

Reorder the terms:
4 + -14insx + 12in2sx = 0

Solving
4 + -14insx + 12in2sx = 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 + -14insx + -4 + 12in2sx = 0 + -4

Reorder the terms:
4 + -4 + -14insx + 12in2sx = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -14insx + 12in2sx = 0 + -4
-14insx + 12in2sx = 0 + -4

Combine like terms: 0 + -4 = -4
-14insx + 12in2sx = -4

Reorder the terms:
4 + -14insx + 12in2sx = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -14insx + 12in2sx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -7insx + 6in2sx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -7insx + 6in2sx)' equal to zero and attempt to solve:

Simplifying
2 + -7insx + 6in2sx = 0

Solving
2 + -7insx + 6in2sx = 0

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

Add '-2' to each side of the equation.
2 + -7insx + -2 + 6in2sx = 0 + -2

Reorder the terms:
2 + -2 + -7insx + 6in2sx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7insx + 6in2sx = 0 + -2
-7insx + 6in2sx = 0 + -2

Combine like terms: 0 + -2 = -2
-7insx + 6in2sx = -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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