sin^2(7x)-sin^2(4x)=sin(11x)sin(3x)

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Solution for sin^2(7x)-sin^2(4x)=sin(11x)sin(3x) equation: 


Simplifying
sin2(7x) + -1sin2(4x) = sin(11x) * sin(3x)

Remove parenthesis around (7x)
in2s * 7x + -1sin2(4x) = sin(11x) * sin(3x)

Reorder the terms for easier multiplication:
7in2s * x + -1sin2(4x) = sin(11x) * sin(3x)

Multiply in2s * x
7in2sx + -1sin2(4x) = sin(11x) * sin(3x)

Remove parenthesis around (4x)
7in2sx + -1in2s * 4x = sin(11x) * sin(3x)

Reorder the terms for easier multiplication:
7in2sx + -1 * 4in2s * x = sin(11x) * sin(3x)

Multiply -1 * 4
7in2sx + -4in2s * x = sin(11x) * sin(3x)

Multiply in2s * x
7in2sx + -4in2sx = sin(11x) * sin(3x)

Combine like terms: 7in2sx + -4in2sx = 3in2sx
3in2sx = sin(11x) * sin(3x)

Remove parenthesis around (11x)
3in2sx = ins * 11x * sin(3x)

Remove parenthesis around (3x)
3in2sx = ins * 11x * ins * 3x

Reorder the terms for easier multiplication:
3in2sx = 11 * 3ins * x * ins * x

Multiply 11 * 3
3in2sx = 33ins * x * ins * x

Multiply ins * x
3in2sx = 33insx * ins * x

Multiply insx * ins
3in2sx = 33i2n2s2x * x

Multiply i2n2s2x * x
3in2sx = 33i2n2s2x2

Solving
3in2sx = 33i2n2s2x2

Solving for variable 'i'.

Combine like terms: 33i2n2s2x2 + -33i2n2s2x2 = 0
3in2sx + -33i2n2s2x2 = 0

Factor out the Greatest Common Factor (GCF), '3in2sx'.
3in2sx(1 + -11isx) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'in2sx' equal to zero and attempt to solve:

Simplifying
in2sx = 0

Solving
in2sx = 0

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

Simplifying
in2sx = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(1 + -11isx)' equal to zero and attempt to solve:

Simplifying
1 + -11isx = 0

Solving
1 + -11isx = 0

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

Add '-1' to each side of the equation.
1 + -1 + -11isx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -11isx = 0 + -1
-11isx = 0 + -1

Combine like terms: 0 + -1 = -1
-11isx = -1

Divide each side by '-11sx'.
i = 0.09090909091s-1x-1

Simplifying
i = 0.09090909091s-1x-1
Solution
i = {0.09090909091s-1x-1}

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