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Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not. a(b^(3)-f)=H Answer: a=

Solve the following equation for a a . Be sure to take into account whether a letter is capitalized or not.\newlinea(b3−f)=H a\left(b^{3}-f\right)=H \newlineAnswer: a= a=

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Full solution

Q. Solve the following equation for a a . Be sure to take into account whether a letter is capitalized or not.\newlinea(b3−f)=H a\left(b^{3}-f\right)=H \newlineAnswer: a= a=
  1. Isolate 'a': First, we need to isolate 'a' on one side of the equation. To do this, we divide both sides of the equation by (b3−f)(b^{3}-f).\newlineCalculation: a=Hb3−fa = \frac{H}{b^{3}-f}
  2. Check for Zero: Now, we check if b3−fb^{3}-f is not equal to zero because division by zero is undefined. If b3−fb^{3}-f is zero, the equation does not have a solution for 'aa'.\newlineReasoning: For any real number HH, if b3−f=0b^{3}-f = 0, then H/0H / 0 is undefined.
  3. Final Solution: Assuming b3−fb^{3}-f is not zero, we have successfully isolated 'a' and found its value in terms of bb, ff, and HH.
    Final Answer: a=Hb3−fa = \frac{H}{b^{3}-f}

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