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Simplifying 2sin2x + -5sin(x + 2) = 0 Reorder the terms: 2in2sx + -5ins(2 + x) = 0 2in2sx + (2 * -5ins + x * -5ins) = 0 2in2sx + (-10ins + -5insx) = 0 Reorder the terms: -10ins + -5insx + 2in2sx = 0 Solving -10ins + -5insx + 2in2sx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ins'. ins(-10 + -5x + 2nx) = 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 '(-10 + -5x + 2nx)' equal to zero and attempt to solve: Simplifying -10 + -5x + 2nx = 0 Reorder the terms: -10 + 2nx + -5x = 0 Solving -10 + 2nx + -5x = 0 Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2nx + 10 + -5x = 0 + 10 Reorder the terms: -10 + 10 + 2nx + -5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2nx + -5x = 0 + 10 2nx + -5x = 0 + 10 Combine like terms: 0 + 10 = 10 2nx + -5x = 10 Add '-2nx' to each side of the equation. 2nx + -2nx + -5x = 10 + -2nx Combine like terms: 2nx + -2nx = 0 0 + -5x = 10 + -2nx -5x = 10 + -2nx Add '5x' to each side of the equation. -5x + 5x = 10 + -2nx + 5x Combine like terms: -5x + 5x = 0 0 = 10 + -2nx + 5x Simplifying 0 = 10 + -2nx + 5x 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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