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Simplifying 0 = 7cos(8x + 1) Reorder the terms: 0 = 7cos(1 + 8x) 0 = (1 * 7cos + 8x * 7cos) 0 = (7cos + 56cosx) Solving 0 = 7cos + 56cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7cos' to each side of the equation. 0 + -7cos = 7cos + -7cos + 56cosx Remove the zero: -7cos = 7cos + -7cos + 56cosx Combine like terms: 7cos + -7cos = 0 -7cos = 0 + 56cosx -7cos = 56cosx Add '-56cosx' to each side of the equation. -7cos + -56cosx = 56cosx + -56cosx Combine like terms: 56cosx + -56cosx = 0 -7cos + -56cosx = 0 Factor out the Greatest Common Factor (GCF), '-7cos'. -7cos(1 + 8x) = 0 Ignore the factor -7.Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 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 '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Add '-8x' to each side of the equation. 8x + -8x = -1 + -8x Combine like terms: 8x + -8x = 0 0 = -1 + -8x Simplifying 0 = -1 + -8x 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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