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Simplifying 20sinx = 16sin(180 + -2x) 20insx = (180 * 16ins + -2x * 16ins) 20insx = (2880ins + -32insx) Solving 20insx = 2880ins + -32insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2880ins' to each side of the equation. -2880ins + 20insx = 2880ins + -2880ins + -32insx Combine like terms: 2880ins + -2880ins = 0 -2880ins + 20insx = 0 + -32insx -2880ins + 20insx = -32insx Add '32insx' to each side of the equation. -2880ins + 20insx + 32insx = -32insx + 32insx Combine like terms: 20insx + 32insx = 52insx -2880ins + 52insx = -32insx + 32insx Combine like terms: -32insx + 32insx = 0 -2880ins + 52insx = 0 Factor out the Greatest Common Factor (GCF), '4ins'. 4ins(-720 + 13x) = 0 Ignore the factor 4.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 '(-720 + 13x)' equal to zero and attempt to solve: Simplifying -720 + 13x = 0 Solving -720 + 13x = 0 Move all terms containing i to the left, all other terms to the right. Add '720' to each side of the equation. -720 + 720 + 13x = 0 + 720 Combine like terms: -720 + 720 = 0 0 + 13x = 0 + 720 13x = 0 + 720 Combine like terms: 0 + 720 = 720 13x = 720 Add '-13x' to each side of the equation. 13x + -13x = 720 + -13x Combine like terms: 13x + -13x = 0 0 = 720 + -13x Simplifying 0 = 720 + -13x 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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