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Simplifying 4sin(90 + -1x) + -2sin(x) + -2 = 0 (90 * 4ins + -1x * 4ins) + -2sin(x) + -2 = 0 (360ins + -4insx) + -2sin(x) + -2 = 0 Multiply ins * x 360ins + -4insx + -2insx + -2 = 0 Reorder the terms: -2 + 360ins + -4insx + -2insx = 0 Combine like terms: -4insx + -2insx = -6insx -2 + 360ins + -6insx = 0 Solving -2 + 360ins + -6insx = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 360ins + 2 + -6insx = 0 + 2 Reorder the terms: -2 + 2 + 360ins + -6insx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 360ins + -6insx = 0 + 2 360ins + -6insx = 0 + 2 Combine like terms: 0 + 2 = 2 360ins + -6insx = 2 Reorder the terms: -2 + 360ins + -6insx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 360ins + -6insx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 180ins + -3insx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 180ins + -3insx)' equal to zero and attempt to solve: Simplifying -1 + 180ins + -3insx = 0 Solving -1 + 180ins + -3insx = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 180ins + 1 + -3insx = 0 + 1 Reorder the terms: -1 + 1 + 180ins + -3insx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 180ins + -3insx = 0 + 1 180ins + -3insx = 0 + 1 Combine like terms: 0 + 1 = 1 180ins + -3insx = 1 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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