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Solve the equation: \newlinex(x−10)=0x(x-10)=0\newlineAnswer: \newlinex=x=

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Full solution

Q. Solve the equation: \newlinex(x−10)=0x(x-10)=0\newlineAnswer: \newlinex=x=
  1. Apply Zero Product Property: Apply the zero product property.\newlineIf the product of two factors is zero, then at least one of the factors must be zero.\newlineSo, we set each factor equal to zero.\newlinex=0x = 0 or (x−10)=0(x - 10) = 0
  2. Solve First Equation: Solve the first equation. \newlinex=0x = 0\newlineThis gives us the first solution.
  3. Solve Second Equation: Solve the second equation.\newline(x−10)=0(x - 10) = 0\newlineAdd 1010 to both sides to isolate xx.\newlinex−10+10=0+10x - 10 + 10 = 0 + 10\newlinex=10x = 10\newlineThis gives us the second solution.

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