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Solve for cc.\newline(c−6)(c+4)=0(c - 6)(c + 4) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinec=c = _____ or c=c = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for cc.\newline(c−6)(c+4)=0(c - 6)(c + 4) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinec=c = _____ or c=c = _____
  1. Identify Property: Identify the property to use in solving the given equation.\newlineProperty: Zero product property, which states that if the product of two factors is 00, then at least one of the factors must be 00.
  2. Set Equations and Solve: Set each factor equal to zero and solve for cc. First, set the first factor equal to zero: (c−6)=0(c − 6) = 0. Add 66 to both sides to solve for cc. c−6+6=0+6c − 6 + 6 = 0 + 6 c=6c = 6
  3. Combine Results: Set the second factor equal to zero: c+4=0c + 4 = 0. Subtract 44 from both sides to solve for cc. c+4−4=0−4c + 4 - 4 = 0 - 4 c=−4c = -4
  4. Combine Results: Set the second factor equal to zero: (c+4)=0(c + 4) = 0.\newlineSubtract 44 from both sides to solve for cc.\newlinec+4−4=0−4c + 4 - 4 = 0 - 4\newlinec=−4c = -4 Combine the results from Step 22 and Step 33 to find the values of cc.\newlineThe equation (c−6)(c+4)=0(c − 6)(c + 4) = 0 has two solutions for cc: c=6c = 6 and c=−4c = -4.

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