tan(3x)sin^2(x)=9tan(3x)

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Solution for tan(3x)sin^2(x)=9tan(3x) equation:


Simplifying
tan(3x) * sin2(x) = 9tan(3x)

Remove parenthesis around (3x)
ant * 3x * sin2(x) = 9tan(3x)

Reorder the terms for easier multiplication:
3ant * x * in2s * x = 9tan(3x)

Multiply ant * x
3antx * in2s * x = 9tan(3x)

Multiply antx * in2s
3ain3stx * x = 9tan(3x)

Multiply ain3stx * x
3ain3stx2 = 9tan(3x)

Remove parenthesis around (3x)
3ain3stx2 = 9ant * 3x

Reorder the terms for easier multiplication:
3ain3stx2 = 9 * 3ant * x

Multiply 9 * 3
3ain3stx2 = 27ant * x

Multiply ant * x
3ain3stx2 = 27antx

Solving
3ain3stx2 = 27antx

Solving for variable 'a'.

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

Add '-27antx' to each side of the equation.
3ain3stx2 + -27antx = 27antx + -27antx

Combine like terms: 27antx + -27antx = 0
3ain3stx2 + -27antx = 0

Factor out the Greatest Common Factor (GCF), '3antx'.
3antx(in2sx + -9) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'antx' equal to zero and attempt to solve: Simplifying antx = 0 Solving antx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying antx = 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 '(in2sx + -9)' equal to zero and attempt to solve: Simplifying in2sx + -9 = 0 Reorder the terms: -9 + in2sx = 0 Solving -9 + in2sx = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + in2sx = 0 + 9 Combine like terms: -9 + 9 = 0 0 + in2sx = 0 + 9 in2sx = 0 + 9 Combine like terms: 0 + 9 = 9 in2sx = 9 Add '-1in2sx' to each side of the equation. in2sx + -1in2sx = 9 + -1in2sx Combine like terms: in2sx + -1in2sx = 0 0 = 9 + -1in2sx Simplifying 0 = 9 + -1in2sx 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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