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