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Simplifying 0 = 24cos(8x + -14) Reorder the terms: 0 = 24cos(-14 + 8x) 0 = (-14 * 24cos + 8x * 24cos) 0 = (-336cos + 192cosx) Solving 0 = -336cos + 192cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '336cos' to each side of the equation. 0 + 336cos = -336cos + 336cos + 192cosx Remove the zero: 336cos = -336cos + 336cos + 192cosx Combine like terms: -336cos + 336cos = 0 336cos = 0 + 192cosx 336cos = 192cosx Add '-192cosx' to each side of the equation. 336cos + -192cosx = 192cosx + -192cosx Combine like terms: 192cosx + -192cosx = 0 336cos + -192cosx = 0 Factor out the Greatest Common Factor (GCF), '48cos'. 48cos(7 + -4x) = 0 Ignore the factor 48.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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Add '4x' to each side of the equation. -4x + 4x = -7 + 4x Combine like terms: -4x + 4x = 0 0 = -7 + 4x Simplifying 0 = -7 + 4x 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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