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Simplifying sin(9x + 7) + cos(11x + 1) = 0 Reorder the terms: ins(7 + 9x) + cos(11x + 1) = 0 (7 * ins + 9x * ins) + cos(11x + 1) = 0 (7ins + 9insx) + cos(11x + 1) = 0 Reorder the terms: 7ins + 9insx + cos(1 + 11x) = 0 7ins + 9insx + (1 * cos + 11x * cos) = 0 7ins + 9insx + (1cos + 11cosx) = 0 Reorder the terms: 1cos + 11cosx + 7ins + 9insx = 0 Solving 1cos + 11cosx + 7ins + 9insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7ins' to each side of the equation. 1cos + 11cosx + 7ins + -7ins + 9insx = 0 + -7ins Combine like terms: 7ins + -7ins = 0 1cos + 11cosx + 0 + 9insx = 0 + -7ins 1cos + 11cosx + 9insx = 0 + -7ins Remove the zero: 1cos + 11cosx + 9insx = -7ins Add '-9insx' to each side of the equation. 1cos + 11cosx + 9insx + -9insx = -7ins + -9insx Combine like terms: 9insx + -9insx = 0 1cos + 11cosx + 0 = -7ins + -9insx 1cos + 11cosx = -7ins + -9insx Reorder the terms: 1cos + 11cosx + 7ins + 9insx = -7ins + 7ins + -9insx + 9insx Combine like terms: -7ins + 7ins = 0 1cos + 11cosx + 7ins + 9insx = 0 + -9insx + 9insx 1cos + 11cosx + 7ins + 9insx = -9insx + 9insx Combine like terms: -9insx + 9insx = 0 1cos + 11cosx + 7ins + 9insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(co + 11cox + 7in + 9inx) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s 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 '(co + 11cox + 7in + 9inx)' equal to zero and attempt to solve: Simplifying co + 11cox + 7in + 9inx = 0 Solving co + 11cox + 7in + 9inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-7in' to each side of the equation. co + 11cox + 7in + -7in + 9inx = 0 + -7in Combine like terms: 7in + -7in = 0 co + 11cox + 0 + 9inx = 0 + -7in co + 11cox + 9inx = 0 + -7in Remove the zero: co + 11cox + 9inx = -7in Add '-9inx' to each side of the equation. co + 11cox + 9inx + -9inx = -7in + -9inx Combine like terms: 9inx + -9inx = 0 co + 11cox + 0 = -7in + -9inx co + 11cox = -7in + -9inx 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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