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