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Simplifying 500 = 538cos(Z + -10) Reorder the terms: 500 = 538cos(-10 + Z) 500 = (-10 * 538cos + Z * 538cos) 500 = (-5380cos + 538cosZ) Solving 500 = -5380cos + 538cosZ Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5380cos' to each side of the equation. 500 + 5380cos = -5380cos + 5380cos + 538cosZ Combine like terms: -5380cos + 5380cos = 0 500 + 5380cos = 0 + 538cosZ 500 + 5380cos = 538cosZ Add '-538cosZ' to each side of the equation. 500 + 5380cos + -538cosZ = 538cosZ + -538cosZ Combine like terms: 538cosZ + -538cosZ = 0 500 + 5380cos + -538cosZ = 0 Add '-500' to each side of the equation. 500 + 5380cos + -500 + -538cosZ = 0 + -500 Reorder the terms: 500 + -500 + 5380cos + -538cosZ = 0 + -500 Combine like terms: 500 + -500 = 0 0 + 5380cos + -538cosZ = 0 + -500 5380cos + -538cosZ = 0 + -500 Combine like terms: 0 + -500 = -500 5380cos + -538cosZ = -500 Reorder the terms: 500 + 5380cos + -538cosZ = -500 + 500 Combine like terms: -500 + 500 = 0 500 + 5380cos + -538cosZ = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(250 + 2690cos + -269cosZ) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(250 + 2690cos + -269cosZ)' equal to zero and attempt to solve: Simplifying 250 + 2690cos + -269cosZ = 0 Solving 250 + 2690cos + -269cosZ = 0 Move all terms containing c to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + 2690cos + -250 + -269cosZ = 0 + -250 Reorder the terms: 250 + -250 + 2690cos + -269cosZ = 0 + -250 Combine like terms: 250 + -250 = 0 0 + 2690cos + -269cosZ = 0 + -250 2690cos + -269cosZ = 0 + -250 Combine like terms: 0 + -250 = -250 2690cos + -269cosZ = -250 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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