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Simplifying sin(3x + 60) + -1sin(x + -20) = 0 Reorder the terms: ins(60 + 3x) + -1sin(x + -20) = 0 (60 * ins + 3x * ins) + -1sin(x + -20) = 0 (60ins + 3insx) + -1sin(x + -20) = 0 Reorder the terms: 60ins + 3insx + -1ins(-20 + x) = 0 60ins + 3insx + (-20 * -1ins + x * -1ins) = 0 60ins + 3insx + (20ins + -1insx) = 0 Reorder the terms: 60ins + 20ins + 3insx + -1insx = 0 Combine like terms: 60ins + 20ins = 80ins 80ins + 3insx + -1insx = 0 Combine like terms: 3insx + -1insx = 2insx 80ins + 2insx = 0 Solving 80ins + 2insx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2ins'. 2ins(40 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ins = 0 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 '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Add '-1x' to each side of the equation. x + -1x = -40 + -1x Combine like terms: x + -1x = 0 0 = -40 + -1x Simplifying 0 = -40 + -1x 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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