3sinx=2sin^2x

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Solution for 3sinx=2sin^2x equation:


Simplifying
3sinx = 2sin2x

Solving
3insx = 2in2sx

Solving for variable 'i'.

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

Add '-2in2sx' to each side of the equation.
3insx + -2in2sx = 2in2sx + -2in2sx

Combine like terms: 2in2sx + -2in2sx = 0
3insx + -2in2sx = 0

Factor out the Greatest Common Factor (GCF), 'insx'.
insx(3 + -2n) = 0

Subproblem 1

Set the factor 'insx' equal to zero and attempt to solve: Simplifying insx = 0 Solving insx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying insx = 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 '(3 + -2n)' equal to zero and attempt to solve: Simplifying 3 + -2n = 0 Solving 3 + -2n = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = 0 + -3 -2n = 0 + -3 Combine like terms: 0 + -3 = -3 -2n = -3 Add '2n' to each side of the equation. -2n + 2n = -3 + 2n Combine like terms: -2n + 2n = 0 0 = -3 + 2n Simplifying 0 = -3 + 2n 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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