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Simplifying sin(2x + 50) + Cos(2x + -10) = 0 Reorder the terms: ins(50 + 2x) + Cos(2x + -10) = 0 (50 * ins + 2x * ins) + Cos(2x + -10) = 0 (50ins + 2insx) + Cos(2x + -10) = 0 Reorder the terms: 50ins + 2insx + osC(-10 + 2x) = 0 50ins + 2insx + (-10 * osC + 2x * osC) = 0 50ins + 2insx + (-10osC + 2osxC) = 0 Solving 50ins + 2insx + -10osC + 2osxC = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10osC' to each side of the equation. 50ins + 2insx + -10osC + 10osC + 2osxC = 0 + 10osC Combine like terms: -10osC + 10osC = 0 50ins + 2insx + 0 + 2osxC = 0 + 10osC 50ins + 2insx + 2osxC = 0 + 10osC Remove the zero: 50ins + 2insx + 2osxC = 10osC Add '-2osxC' to each side of the equation. 50ins + 2insx + 2osxC + -2osxC = 10osC + -2osxC Combine like terms: 2osxC + -2osxC = 0 50ins + 2insx + 0 = 10osC + -2osxC 50ins + 2insx = 10osC + -2osxC Reorder the terms: 50ins + 2insx + -10osC + 2osxC = 10osC + -10osC + -2osxC + 2osxC Combine like terms: 10osC + -10osC = 0 50ins + 2insx + -10osC + 2osxC = 0 + -2osxC + 2osxC 50ins + 2insx + -10osC + 2osxC = -2osxC + 2osxC Combine like terms: -2osxC + 2osxC = 0 50ins + 2insx + -10osC + 2osxC = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(25in + inx + -5oC + oxC) = 0 Ignore the factor 2.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing i to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s 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 '(25in + inx + -5oC + oxC)' equal to zero and attempt to solve: Simplifying 25in + inx + -5oC + oxC = 0 Solving 25in + inx + -5oC + oxC = 0 Move all terms containing i to the left, all other terms to the right. Add '5oC' to each side of the equation. 25in + inx + -5oC + 5oC + oxC = 0 + 5oC Combine like terms: -5oC + 5oC = 0 25in + inx + 0 + oxC = 0 + 5oC 25in + inx + oxC = 0 + 5oC Remove the zero: 25in + inx + oxC = 5oC Add '-1oxC' to each side of the equation. 25in + inx + oxC + -1oxC = 5oC + -1oxC Combine like terms: oxC + -1oxC = 0 25in + inx + 0 = 5oC + -1oxC 25in + inx = 5oC + -1oxC 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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