14sin^2x+7sinx-7=0

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Solution for 14sin^2x+7sinx-7=0 equation:


Simplifying
14sin2x + 7sinx + -7 = 0

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

Solving
-7 + 7insx + 14in2sx = 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 + 7insx + 7 + 14in2sx = 0 + 7

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

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

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

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

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

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

Ignore the factor 7.

Subproblem 1

Set the factor '(-1 + insx + 2in2sx)' equal to zero and attempt to solve: Simplifying -1 + insx + 2in2sx = 0 Solving -1 + insx + 2in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + insx + 1 + 2in2sx = 0 + 1 Reorder the terms: -1 + 1 + insx + 2in2sx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + insx + 2in2sx = 0 + 1 insx + 2in2sx = 0 + 1 Combine like terms: 0 + 1 = 1 insx + 2in2sx = 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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