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Simplifying s(3x + 2) = cos(4x + -10) Reorder the terms: s(2 + 3x) = cos(4x + -10) (2 * s + 3x * s) = cos(4x + -10) (2s + 3sx) = cos(4x + -10) Reorder the terms: 2s + 3sx = cos(-10 + 4x) 2s + 3sx = (-10 * cos + 4x * cos) 2s + 3sx = (-10cos + 4cosx) Solving 2s + 3sx = -10cos + 4cosx Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '10cos' to each side of the equation. 2s + 10cos + 3sx = -10cos + 10cos + 4cosx Reorder the terms: 10cos + 2s + 3sx = -10cos + 10cos + 4cosx Combine like terms: -10cos + 10cos = 0 10cos + 2s + 3sx = 0 + 4cosx 10cos + 2s + 3sx = 4cosx Add '-4cosx' to each side of the equation. 10cos + 2s + -4cosx + 3sx = 4cosx + -4cosx Reorder the terms: 10cos + -4cosx + 2s + 3sx = 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 0 10cos + -4cosx + 2s + 3sx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(10co + -4cox + 2 + 3x) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(10co + -4cox + 2 + 3x)' equal to zero and attempt to solve: Simplifying 10co + -4cox + 2 + 3x = 0 Reorder the terms: 2 + 10co + -4cox + 3x = 0 Solving 2 + 10co + -4cox + 3x = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 10co + -4cox + -2 + 3x = 0 + -2 Reorder the terms: 2 + -2 + 10co + -4cox + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10co + -4cox + 3x = 0 + -2 10co + -4cox + 3x = 0 + -2 Combine like terms: 0 + -2 = -2 10co + -4cox + 3x = -2 Add '-10co' to each side of the equation. 10co + -4cox + -10co + 3x = -2 + -10co Reorder the terms: 10co + -10co + -4cox + 3x = -2 + -10co Combine like terms: 10co + -10co = 0 0 + -4cox + 3x = -2 + -10co -4cox + 3x = -2 + -10co Add '4cox' to each side of the equation. -4cox + 4cox + 3x = -2 + -10co + 4cox Combine like terms: -4cox + 4cox = 0 0 + 3x = -2 + -10co + 4cox 3x = -2 + -10co + 4cox Add '-3x' to each side of the equation. 3x + -3x = -2 + -10co + 4cox + -3x Combine like terms: 3x + -3x = 0 0 = -2 + -10co + 4cox + -3x Simplifying 0 = -2 + -10co + 4cox + -3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
s = {0}
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