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Simplifying (sinx + -5)(sinx + -1) = 0 Reorder the terms: (-5 + insx)(sinx + -1) = 0 Reorder the terms: (-5 + insx)(-1 + insx) = 0 Multiply (-5 + insx) * (-1 + insx) (-5(-1 + insx) + insx(-1 + insx)) = 0 ((-1 * -5 + insx * -5) + insx(-1 + insx)) = 0 ((5 + -5insx) + insx(-1 + insx)) = 0 (5 + -5insx + (-1 * insx + insx * insx)) = 0 (5 + -5insx + (-1insx + i2n2s2x2)) = 0 Combine like terms: -5insx + -1insx = -6insx (5 + -6insx + i2n2s2x2) = 0 Solving 5 + -6insx + i2n2s2x2 = 0 Solving for variable 'i'. Factor a trinomial. (1 + -1insx)(5 + -1insx) = 0Subproblem 1
Set the factor '(1 + -1insx)' equal to zero and attempt to solve: Simplifying 1 + -1insx = 0 Solving 1 + -1insx = 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 + -1insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1insx = 0 + -1 -1insx = 0 + -1 Combine like terms: 0 + -1 = -1 -1insx = -1 Divide each side by '-1nsx'. i = n-1s-1x-1 Simplifying i = n-1s-1x-1Subproblem 2
Set the factor '(5 + -1insx)' equal to zero and attempt to solve: Simplifying 5 + -1insx = 0 Solving 5 + -1insx = 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 + -1insx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1insx = 0 + -5 -1insx = 0 + -5 Combine like terms: 0 + -5 = -5 -1insx = -5 Divide each side by '-1nsx'. i = 5n-1s-1x-1 Simplifying i = 5n-1s-1x-1Solution
i = {n-1s-1x-1, 5n-1s-1x-1}
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