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Solve for zz. \newlinez2+17z=0z^2 + 17z = 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

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Q. Solve for zz. \newlinez2+17z=0z^2 + 17z = 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. We notice that both terms in the equation z2+17zz^2 + 17z have a common factor of zz. We can factor out zz to simplify the equation. z(z+17)=0z(z + 17) = 0
  2. Set factors equal to zero: Set each factor equal to zero.\newlineSince the product of two factors is zero, at least one of the factors must be zero. We set each factor equal to zero and solve for zz.\newlinez=0z = 0 or z+17=0z + 17 = 0
  3. Solve for z: Solve for z when z+17=0z + 17 = 0.\newlineSubtract 1717 from both sides of the equation z+17=0z + 17 = 0 to isolate zz.\newlinez=−17z = -17

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