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Simplifying sin(3x + -20) + cos(x + 10) = 0 Reorder the terms: ins(-20 + 3x) + cos(x + 10) = 0 (-20 * ins + 3x * ins) + cos(x + 10) = 0 (-20ins + 3insx) + cos(x + 10) = 0 Reorder the terms: -20ins + 3insx + cos(10 + x) = 0 -20ins + 3insx + (10 * cos + x * cos) = 0 -20ins + 3insx + (10cos + cosx) = 0 Reorder the terms: 10cos + cosx + -20ins + 3insx = 0 Solving 10cos + cosx + -20ins + 3insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20ins' to each side of the equation. 10cos + cosx + -20ins + 20ins + 3insx = 0 + 20ins Combine like terms: -20ins + 20ins = 0 10cos + cosx + 0 + 3insx = 0 + 20ins 10cos + cosx + 3insx = 0 + 20ins Remove the zero: 10cos + cosx + 3insx = 20ins Add '-3insx' to each side of the equation. 10cos + cosx + 3insx + -3insx = 20ins + -3insx Combine like terms: 3insx + -3insx = 0 10cos + cosx + 0 = 20ins + -3insx 10cos + cosx = 20ins + -3insx Reorder the terms: 10cos + cosx + -20ins + 3insx = 20ins + -20ins + -3insx + 3insx Combine like terms: 20ins + -20ins = 0 10cos + cosx + -20ins + 3insx = 0 + -3insx + 3insx 10cos + cosx + -20ins + 3insx = -3insx + 3insx Combine like terms: -3insx + 3insx = 0 10cos + cosx + -20ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(10co + cox + -20in + 3inx) = 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 '(10co + cox + -20in + 3inx)' equal to zero and attempt to solve: Simplifying 10co + cox + -20in + 3inx = 0 Solving 10co + cox + -20in + 3inx = 0 Move all terms containing c to the left, all other terms to the right. Add '20in' to each side of the equation. 10co + cox + -20in + 20in + 3inx = 0 + 20in Combine like terms: -20in + 20in = 0 10co + cox + 0 + 3inx = 0 + 20in 10co + cox + 3inx = 0 + 20in Remove the zero: 10co + cox + 3inx = 20in Add '-3inx' to each side of the equation. 10co + cox + 3inx + -3inx = 20in + -3inx Combine like terms: 3inx + -3inx = 0 10co + cox + 0 = 20in + -3inx 10co + cox = 20in + -3inx 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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