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Simplifying Cos(6x + -5) = sin(3a + 10) Reorder the terms: osC(-5 + 6x) = sin(3a + 10) (-5 * osC + 6x * osC) = sin(3a + 10) (-5osC + 6osxC) = sin(3a + 10) Reorder the terms: -5osC + 6osxC = ins(10 + 3a) -5osC + 6osxC = (10 * ins + 3a * ins) Reorder the terms: -5osC + 6osxC = (3ains + 10ins) -5osC + 6osxC = (3ains + 10ins) Solving -5osC + 6osxC = 3ains + 10ins Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Reorder the terms: -3ains + -10ins + -5osC + 6osxC = 3ains + 10ins + -3ains + -10ins Reorder the terms: -3ains + -10ins + -5osC + 6osxC = 3ains + -3ains + 10ins + -10ins Combine like terms: 3ains + -3ains = 0 -3ains + -10ins + -5osC + 6osxC = 0 + 10ins + -10ins -3ains + -10ins + -5osC + 6osxC = 10ins + -10ins Combine like terms: 10ins + -10ins = 0 -3ains + -10ins + -5osC + 6osxC = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-3ain + -10in + -5oC + 6oxC) = 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 '(-3ain + -10in + -5oC + 6oxC)' equal to zero and attempt to solve: Simplifying -3ain + -10in + -5oC + 6oxC = 0 Solving -3ain + -10in + -5oC + 6oxC = 0 Move all terms containing o to the left, all other terms to the right. Add '3ain' to each side of the equation. -3ain + -10in + -5oC + 3ain + 6oxC = 0 + 3ain Reorder the terms: -3ain + 3ain + -10in + -5oC + 6oxC = 0 + 3ain Combine like terms: -3ain + 3ain = 0 0 + -10in + -5oC + 6oxC = 0 + 3ain -10in + -5oC + 6oxC = 0 + 3ain Remove the zero: -10in + -5oC + 6oxC = 3ain Add '10in' to each side of the equation. -10in + -5oC + 10in + 6oxC = 3ain + 10in Reorder the terms: -10in + 10in + -5oC + 6oxC = 3ain + 10in Combine like terms: -10in + 10in = 0 0 + -5oC + 6oxC = 3ain + 10in -5oC + 6oxC = 3ain + 10in 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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