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Simplifying sin(2x + 7) + -1cos(3x + 8) = 0 Reorder the terms: ins(7 + 2x) + -1cos(3x + 8) = 0 (7 * ins + 2x * ins) + -1cos(3x + 8) = 0 (7ins + 2insx) + -1cos(3x + 8) = 0 Reorder the terms: 7ins + 2insx + -1cos(8 + 3x) = 0 7ins + 2insx + (8 * -1cos + 3x * -1cos) = 0 7ins + 2insx + (-8cos + -3cosx) = 0 Reorder the terms: -8cos + -3cosx + 7ins + 2insx = 0 Solving -8cos + -3cosx + 7ins + 2insx = 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. -8cos + -3cosx + 7ins + -7ins + 2insx = 0 + -7ins Combine like terms: 7ins + -7ins = 0 -8cos + -3cosx + 0 + 2insx = 0 + -7ins -8cos + -3cosx + 2insx = 0 + -7ins Remove the zero: -8cos + -3cosx + 2insx = -7ins Add '-2insx' to each side of the equation. -8cos + -3cosx + 2insx + -2insx = -7ins + -2insx Combine like terms: 2insx + -2insx = 0 -8cos + -3cosx + 0 = -7ins + -2insx -8cos + -3cosx = -7ins + -2insx Reorder the terms: -8cos + -3cosx + 7ins + 2insx = -7ins + 7ins + -2insx + 2insx Combine like terms: -7ins + 7ins = 0 -8cos + -3cosx + 7ins + 2insx = 0 + -2insx + 2insx -8cos + -3cosx + 7ins + 2insx = -2insx + 2insx Combine like terms: -2insx + 2insx = 0 -8cos + -3cosx + 7ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-8co + -3cox + 7in + 2inx) = 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 '(-8co + -3cox + 7in + 2inx)' equal to zero and attempt to solve: Simplifying -8co + -3cox + 7in + 2inx = 0 Solving -8co + -3cox + 7in + 2inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-7in' to each side of the equation. -8co + -3cox + 7in + -7in + 2inx = 0 + -7in Combine like terms: 7in + -7in = 0 -8co + -3cox + 0 + 2inx = 0 + -7in -8co + -3cox + 2inx = 0 + -7in Remove the zero: -8co + -3cox + 2inx = -7in Add '-2inx' to each side of the equation. -8co + -3cox + 2inx + -2inx = -7in + -2inx Combine like terms: 2inx + -2inx = 0 -8co + -3cox + 0 = -7in + -2inx -8co + -3cox = -7in + -2inx 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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