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Simplifying 4i = 2like + 1pie Solving 4i = 2eikl + 1eip Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2eikl' to each side of the equation. -2eikl + 4i = 2eikl + -2eikl + 1eip Combine like terms: 2eikl + -2eikl = 0 -2eikl + 4i = 0 + 1eip -2eikl + 4i = 1eip Add '-1eip' to each side of the equation. -2eikl + -1eip + 4i = 1eip + -1eip Combine like terms: 1eip + -1eip = 0 -2eikl + -1eip + 4i = 0 Factor out the Greatest Common Factor (GCF), 'i'. i(-2ekl + -1ep + 4) = 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 '(-2ekl + -1ep + 4)' equal to zero and attempt to solve: Simplifying -2ekl + -1ep + 4 = 0 Reorder the terms: 4 + -2ekl + -1ep = 0 Solving 4 + -2ekl + -1ep = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2ekl + -4 + -1ep = 0 + -4 Reorder the terms: 4 + -4 + -2ekl + -1ep = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2ekl + -1ep = 0 + -4 -2ekl + -1ep = 0 + -4 Combine like terms: 0 + -4 = -4 -2ekl + -1ep = -4 Add '2ekl' to each side of the equation. -2ekl + 2ekl + -1ep = -4 + 2ekl Combine like terms: -2ekl + 2ekl = 0 0 + -1ep = -4 + 2ekl -1ep = -4 + 2ekl Add 'ep' to each side of the equation. -1ep + ep = -4 + 2ekl + ep Combine like terms: -1ep + ep = 0 0 = -4 + 2ekl + ep Simplifying 0 = -4 + 2ekl + ep 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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