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Simplifying sin(3x + 50) + cos(x + -10) = 0 Reorder the terms: ins(50 + 3x) + cos(x + -10) = 0 (50 * ins + 3x * ins) + cos(x + -10) = 0 (50ins + 3insx) + cos(x + -10) = 0 Reorder the terms: 50ins + 3insx + cos(-10 + x) = 0 50ins + 3insx + (-10 * cos + x * cos) = 0 50ins + 3insx + (-10cos + cosx) = 0 Reorder the terms: -10cos + cosx + 50ins + 3insx = 0 Solving -10cos + cosx + 50ins + 3insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-50ins' to each side of the equation. -10cos + cosx + 50ins + -50ins + 3insx = 0 + -50ins Combine like terms: 50ins + -50ins = 0 -10cos + cosx + 0 + 3insx = 0 + -50ins -10cos + cosx + 3insx = 0 + -50ins Remove the zero: -10cos + cosx + 3insx = -50ins Add '-3insx' to each side of the equation. -10cos + cosx + 3insx + -3insx = -50ins + -3insx Combine like terms: 3insx + -3insx = 0 -10cos + cosx + 0 = -50ins + -3insx -10cos + cosx = -50ins + -3insx Reorder the terms: -10cos + cosx + 50ins + 3insx = -50ins + 50ins + -3insx + 3insx Combine like terms: -50ins + 50ins = 0 -10cos + cosx + 50ins + 3insx = 0 + -3insx + 3insx -10cos + cosx + 50ins + 3insx = -3insx + 3insx Combine like terms: -3insx + 3insx = 0 -10cos + cosx + 50ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-10co + cox + 50in + 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 + 50in + 3inx)' equal to zero and attempt to solve: Simplifying -10co + cox + 50in + 3inx = 0 Solving -10co + cox + 50in + 3inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-50in' to each side of the equation. -10co + cox + 50in + -50in + 3inx = 0 + -50in Combine like terms: 50in + -50in = 0 -10co + cox + 0 + 3inx = 0 + -50in -10co + cox + 3inx = 0 + -50in Remove the zero: -10co + cox + 3inx = -50in Add '-3inx' to each side of the equation. -10co + cox + 3inx + -3inx = -50in + -3inx Combine like terms: 3inx + -3inx = 0 -10co + cox + 0 = -50in + -3inx -10co + cox = -50in + -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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