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