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Simplifying sin2(2x) = 3sin(2x) Remove parenthesis around (2x) in2s * 2x = 3sin(2x) Reorder the terms for easier multiplication: 2in2s * x = 3sin(2x) Multiply in2s * x 2in2sx = 3sin(2x) Remove parenthesis around (2x) 2in2sx = 3ins * 2x Reorder the terms for easier multiplication: 2in2sx = 3 * 2ins * x Multiply 3 * 2 2in2sx = 6ins * x Multiply ins * x 2in2sx = 6insx Solving 2in2sx = 6insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6insx' to each side of the equation. -6insx + 2in2sx = 6insx + -6insx Combine like terms: 6insx + -6insx = 0 -6insx + 2in2sx = 0 Factor out the Greatest Common Factor (GCF), '2insx'. 2insx(-3 + n) = 0 Ignore the factor 2.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 + n)' equal to zero and attempt to solve: Simplifying -3 + n = 0 Solving -3 + n = 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 + n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + n = 0 + 3 n = 0 + 3 Combine like terms: 0 + 3 = 3 n = 3 Add '-1n' to each side of the equation. n + -1n = 3 + -1n Combine like terms: n + -1n = 0 0 = 3 + -1n Simplifying 0 = 3 + -1n 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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