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Solve for zz.\newline−2∣z∣=−6-2|z| = -6\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinez=z = _____ or z=z = _____

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Q. Solve for zz.\newline−2∣z∣=−6-2|z| = -6\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinez=z = _____ or z=z = _____
  1. Isolate absolute value term: Isolate the absolute value term.\newlineTo find the value of ∣z∣|z|, divide both sides of the equation by −2-2.\newline−2∣z∣/−2=−6/−2-2|z| / -2 = -6 / -2\newline∣z∣=3|z| = 3
  2. Find value of ∣z∣\lvert z \rvert: Solve for zz.\newlineThe absolute value equation ∣z∣=3\lvert z \rvert = 3 means that zz can be either 33 or −3-3 because the absolute value of both 33 and −3-3 is 33.\newlineSo, z=3z = 3 or zz00.

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