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Simplifying sin(4x + -10) + -1cos(x + 60) = 0 Reorder the terms: ins(-10 + 4x) + -1cos(x + 60) = 0 (-10 * ins + 4x * ins) + -1cos(x + 60) = 0 (-10ins + 4insx) + -1cos(x + 60) = 0 Reorder the terms: -10ins + 4insx + -1cos(60 + x) = 0 -10ins + 4insx + (60 * -1cos + x * -1cos) = 0 -10ins + 4insx + (-60cos + -1cosx) = 0 Reorder the terms: -60cos + -1cosx + -10ins + 4insx = 0 Solving -60cos + -1cosx + -10ins + 4insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10ins' to each side of the equation. -60cos + -1cosx + -10ins + 10ins + 4insx = 0 + 10ins Combine like terms: -10ins + 10ins = 0 -60cos + -1cosx + 0 + 4insx = 0 + 10ins -60cos + -1cosx + 4insx = 0 + 10ins Remove the zero: -60cos + -1cosx + 4insx = 10ins Add '-4insx' to each side of the equation. -60cos + -1cosx + 4insx + -4insx = 10ins + -4insx Combine like terms: 4insx + -4insx = 0 -60cos + -1cosx + 0 = 10ins + -4insx -60cos + -1cosx = 10ins + -4insx Reorder the terms: -60cos + -1cosx + -10ins + 4insx = 10ins + -10ins + -4insx + 4insx Combine like terms: 10ins + -10ins = 0 -60cos + -1cosx + -10ins + 4insx = 0 + -4insx + 4insx -60cos + -1cosx + -10ins + 4insx = -4insx + 4insx Combine like terms: -4insx + 4insx = 0 -60cos + -1cosx + -10ins + 4insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-60co + -1cox + -10in + 4inx) = 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 '(-60co + -1cox + -10in + 4inx)' equal to zero and attempt to solve: Simplifying -60co + -1cox + -10in + 4inx = 0 Solving -60co + -1cox + -10in + 4inx = 0 Move all terms containing c to the left, all other terms to the right. Add '10in' to each side of the equation. -60co + -1cox + -10in + 10in + 4inx = 0 + 10in Combine like terms: -10in + 10in = 0 -60co + -1cox + 0 + 4inx = 0 + 10in -60co + -1cox + 4inx = 0 + 10in Remove the zero: -60co + -1cox + 4inx = 10in Add '-4inx' to each side of the equation. -60co + -1cox + 4inx + -4inx = 10in + -4inx Combine like terms: 4inx + -4inx = 0 -60co + -1cox + 0 = 10in + -4inx -60co + -1cox = 10in + -4inx 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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