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Simplifying Cos(2x + 50) = sin(8x + -80) Reorder the terms: osC(50 + 2x) = sin(8x + -80) (50 * osC + 2x * osC) = sin(8x + -80) (50osC + 2osxC) = sin(8x + -80) Reorder the terms: 50osC + 2osxC = ins(-80 + 8x) 50osC + 2osxC = (-80 * ins + 8x * ins) 50osC + 2osxC = (-80ins + 8insx) Solving 50osC + 2osxC = -80ins + 8insx Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Reorder the terms: 80ins + -8insx + 50osC + 2osxC = -80ins + 8insx + 80ins + -8insx Reorder the terms: 80ins + -8insx + 50osC + 2osxC = -80ins + 80ins + 8insx + -8insx Combine like terms: -80ins + 80ins = 0 80ins + -8insx + 50osC + 2osxC = 0 + 8insx + -8insx 80ins + -8insx + 50osC + 2osxC = 8insx + -8insx Combine like terms: 8insx + -8insx = 0 80ins + -8insx + 50osC + 2osxC = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(40in + -4inx + 25oC + 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 o 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 '(40in + -4inx + 25oC + oxC)' equal to zero and attempt to solve: Simplifying 40in + -4inx + 25oC + oxC = 0 Solving 40in + -4inx + 25oC + oxC = 0 Move all terms containing o to the left, all other terms to the right. Add '-40in' to each side of the equation. 40in + -4inx + 25oC + -40in + oxC = 0 + -40in Reorder the terms: 40in + -40in + -4inx + 25oC + oxC = 0 + -40in Combine like terms: 40in + -40in = 0 0 + -4inx + 25oC + oxC = 0 + -40in -4inx + 25oC + oxC = 0 + -40in Remove the zero: -4inx + 25oC + oxC = -40in Add '4inx' to each side of the equation. -4inx + 25oC + 4inx + oxC = -40in + 4inx Reorder the terms: -4inx + 4inx + 25oC + oxC = -40in + 4inx Combine like terms: -4inx + 4inx = 0 0 + 25oC + oxC = -40in + 4inx 25oC + oxC = -40in + 4inx 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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