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Simplifying sin7x = sin3x Solving in7sx = in3sx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1in3sx' to each side of the equation. -1in3sx + in7sx = in3sx + -1in3sx Combine like terms: in3sx + -1in3sx = 0 -1in3sx + in7sx = 0 Factor out the Greatest Common Factor (GCF), 'in3sx'. in3sx(-1 + n4) = 0 Factor a difference between two squares. in3sx((1 + n2)(-1 + n2)) = 0 Factor a difference between two squares. in3sx((1 + n2)((1 + n)(-1 + n))) = 0Subproblem 1
Set the factor 'in3sx' equal to zero and attempt to solve: Simplifying in3sx = 0 Solving in3sx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in3sx = 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 + n2)' equal to zero and attempt to solve: Simplifying 1 + n2 = 0 Solving 1 + n2 = 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 + n2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n2 = 0 + -1 n2 = 0 + -1 Combine like terms: 0 + -1 = -1 n2 = -1 Add '-1n2' to each side of the equation. n2 + -1n2 = -1 + -1n2 Combine like terms: n2 + -1n2 = 0 0 = -1 + -1n2 Simplifying 0 = -1 + -1n2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 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 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Add '-1n' to each side of the equation. n + -1n = -1 + -1n Combine like terms: n + -1n = 0 0 = -1 + -1n Simplifying 0 = -1 + -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(-1 + n)' equal to zero and attempt to solve: Simplifying -1 + n = 0 Solving -1 + n = 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 + n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + n = 0 + 1 n = 0 + 1 Combine like terms: 0 + 1 = 1 n = 1 Add '-1n' to each side of the equation. n + -1n = 1 + -1n Combine like terms: n + -1n = 0 0 = 1 + -1n Simplifying 0 = 1 + -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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