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Simplifying 0 = 4g(j + -2) Reorder the terms: 0 = 4g(-2 + j) 0 = (-2 * 4g + j * 4g) 0 = (-8g + 4gj) Solving 0 = -8g + 4gj Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8g' to each side of the equation. 0 + 8g = -8g + 8g + 4gj Remove the zero: 8g = -8g + 8g + 4gj Combine like terms: -8g + 8g = 0 8g = 0 + 4gj 8g = 4gj Add '-4gj' to each side of the equation. 8g + -4gj = 4gj + -4gj Combine like terms: 4gj + -4gj = 0 8g + -4gj = 0 Factor out the Greatest Common Factor (GCF), '4g'. 4g(2 + -1j) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(2 + -1j)' equal to zero and attempt to solve: Simplifying 2 + -1j = 0 Solving 2 + -1j = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1j = 0 + -2 -1j = 0 + -2 Combine like terms: 0 + -2 = -2 -1j = -2 Add 'j' to each side of the equation. -1j + j = -2 + j Combine like terms: -1j + j = 0 0 = -2 + j Simplifying 0 = -2 + j The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
g = {0}
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