7sin^2(x)+14sin(x)+7=0

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Solution for 7sin^2(x)+14sin(x)+7=0 equation: 


Simplifying
7sin2(x) + 14sin(x) + 7 = 0

Multiply in2s * x
7in2sx + 14sin(x) + 7 = 0

Multiply ins * x
7in2sx + 14insx + 7 = 0

Reorder the terms:
7 + 14insx + 7in2sx = 0

Solving
7 + 14insx + 7in2sx = 0

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + 14insx + -7 + 7in2sx = 0 + -7

Reorder the terms:
7 + -7 + 14insx + 7in2sx = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 14insx + 7in2sx = 0 + -7
14insx + 7in2sx = 0 + -7

Combine like terms: 0 + -7 = -7
14insx + 7in2sx = -7

Reorder the terms:
7 + 14insx + 7in2sx = -7 + 7

Combine like terms: -7 + 7 = 0
7 + 14insx + 7in2sx = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(1 + 2insx + in2sx) = 0

Ignore the factor 7.

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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