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Simplifying 15 = 9sin(90 + -1x) + 18sin(x) 15 = (90 * 9ins + -1x * 9ins) + 18sin(x) 15 = (810ins + -9insx) + 18sin(x) Multiply ins * x 15 = 810ins + -9insx + 18insx Combine like terms: -9insx + 18insx = 9insx 15 = 810ins + 9insx Solving 15 = 810ins + 9insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-810ins' to each side of the equation. 15 + -810ins = 810ins + -810ins + 9insx Combine like terms: 810ins + -810ins = 0 15 + -810ins = 0 + 9insx 15 + -810ins = 9insx Add '-9insx' to each side of the equation. 15 + -810ins + -9insx = 9insx + -9insx Combine like terms: 9insx + -9insx = 0 15 + -810ins + -9insx = 0 Add '-15' to each side of the equation. 15 + -810ins + -15 + -9insx = 0 + -15 Reorder the terms: 15 + -15 + -810ins + -9insx = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -810ins + -9insx = 0 + -15 -810ins + -9insx = 0 + -15 Combine like terms: 0 + -15 = -15 -810ins + -9insx = -15 Reorder the terms: 15 + -810ins + -9insx = -15 + 15 Combine like terms: -15 + 15 = 0 15 + -810ins + -9insx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -270ins + -3insx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -270ins + -3insx)' equal to zero and attempt to solve: Simplifying 5 + -270ins + -3insx = 0 Solving 5 + -270ins + -3insx = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -270ins + -5 + -3insx = 0 + -5 Reorder the terms: 5 + -5 + -270ins + -3insx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -270ins + -3insx = 0 + -5 -270ins + -3insx = 0 + -5 Combine like terms: 0 + -5 = -5 -270ins + -3insx = -5 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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