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Simplifying 0 = 2Cos(3X + 30) Reorder the terms: 0 = 2osC(30 + 3X) 0 = (30 * 2osC + 3X * 2osC) 0 = (60osC + 6osCX) Solving 0 = 60osC + 6osCX Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Add '-60osC' to each side of the equation. 0 + -60osC = 60osC + -60osC + 6osCX Remove the zero: -60osC = 60osC + -60osC + 6osCX Combine like terms: 60osC + -60osC = 0 -60osC = 0 + 6osCX -60osC = 6osCX Add '-6osCX' to each side of the equation. -60osC + -6osCX = 6osCX + -6osCX Combine like terms: 6osCX + -6osCX = 0 -60osC + -6osCX = 0 Factor out the Greatest Common Factor (GCF), '-6osC'. -6osC(10 + X) = 0 Ignore the factor -6.Subproblem 1
Set the factor 'osC' equal to zero and attempt to solve: Simplifying osC = 0 Solving osC = 0 Move all terms containing o to the left, all other terms to the right. Simplifying osC = 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 + X)' equal to zero and attempt to solve: Simplifying 10 + X = 0 Solving 10 + X = 0 Move all terms containing o to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X = 0 + -10 X = 0 + -10 Combine like terms: 0 + -10 = -10 X = -10 Add '-1X' to each side of the equation. X + -1X = -10 + -1X Combine like terms: X + -1X = 0 0 = -10 + -1X Simplifying 0 = -10 + -1X 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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