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Solve for zz. \newlinez2+5z=0z^2 + 5z = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinez=__z = \_\_

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Solve a quadratic equation by factoringright chevron icon

Full solution

Q. Solve for zz. \newlinez2+5z=0z^2 + 5z = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinez=__z = \_\_
  1. Factor out common factor: Factor out the common factor zz.\newlineFactor out zz from z2z^2 and 5z5z.\newlinez(z+5)=0z(z + 5) = 0
  2. Set equal and solve: Set each factor equal to zero and solve for zz.z=0z = 0 or z+5=0z + 5 = 0
  3. Solve equation: Solve the equation z+5=0z + 5 = 0.\newlineSubtract 55 from both sides to isolate zz.\newlinez=−5z = -5

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