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Simplifying sin(2x + 1) = 2pi Reorder the terms: ins(1 + 2x) = 2pi (1 * ins + 2x * ins) = 2pi (1ins + 2insx) = 2pi Solving 1ins + 2insx = 2ip Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2ip' to each side of the equation. 1ins + 2insx + -2ip = 2ip + -2ip Combine like terms: 2ip + -2ip = 0 1ins + 2insx + -2ip = 0 Factor out the Greatest Common Factor (GCF), 'i'. i(ns + 2nsx + -2p) = 0Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 2
Set the factor '(ns + 2nsx + -2p)' equal to zero and attempt to solve: Simplifying ns + 2nsx + -2p = 0 Solving ns + 2nsx + -2p = 0 Move all terms containing i to the left, all other terms to the right. Add '-1ns' to each side of the equation. ns + 2nsx + -1ns + -2p = 0 + -1ns Reorder the terms: ns + -1ns + 2nsx + -2p = 0 + -1ns Combine like terms: ns + -1ns = 0 0 + 2nsx + -2p = 0 + -1ns 2nsx + -2p = 0 + -1ns Remove the zero: 2nsx + -2p = -1ns Add '-2nsx' to each side of the equation. 2nsx + -2nsx + -2p = -1ns + -2nsx Combine like terms: 2nsx + -2nsx = 0 0 + -2p = -1ns + -2nsx -2p = -1ns + -2nsx Add '2p' to each side of the equation. -2p + 2p = -1ns + -2nsx + 2p Combine like terms: -2p + 2p = 0 0 = -1ns + -2nsx + 2p Simplifying 0 = -1ns + -2nsx + 2p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
i = {0}
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