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Simplifying (2sinx + 5)(2sinx + -1) = 0 Reorder the terms: (5 + 2insx)(2sinx + -1) = 0 Reorder the terms: (5 + 2insx)(-1 + 2insx) = 0 Multiply (5 + 2insx) * (-1 + 2insx) (5(-1 + 2insx) + 2insx * (-1 + 2insx)) = 0 ((-1 * 5 + 2insx * 5) + 2insx * (-1 + 2insx)) = 0 ((-5 + 10insx) + 2insx * (-1 + 2insx)) = 0 (-5 + 10insx + (-1 * 2insx + 2insx * 2insx)) = 0 (-5 + 10insx + (-2insx + 4i2n2s2x2)) = 0 Combine like terms: 10insx + -2insx = 8insx (-5 + 8insx + 4i2n2s2x2) = 0 Solving -5 + 8insx + 4i2n2s2x2 = 0 Solving for variable 'i'. Factor a trinomial. (-5 + -2insx)(1 + -2insx) = 0Subproblem 1
Set the factor '(-5 + -2insx)' equal to zero and attempt to solve: Simplifying -5 + -2insx = 0 Solving -5 + -2insx = 0 Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2insx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2insx = 0 + 5 -2insx = 0 + 5 Combine like terms: 0 + 5 = 5 -2insx = 5 Divide each side by '-2nsx'. i = -2.5n-1s-1x-1 Simplifying i = -2.5n-1s-1x-1Subproblem 2
Set the factor '(1 + -2insx)' equal to zero and attempt to solve: Simplifying 1 + -2insx = 0 Solving 1 + -2insx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2insx = 0 + -1 -2insx = 0 + -1 Combine like terms: 0 + -1 = -1 -2insx = -1 Divide each side by '-2nsx'. i = 0.5n-1s-1x-1 Simplifying i = 0.5n-1s-1x-1Solution
i = {-2.5n-1s-1x-1, 0.5n-1s-1x-1}
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