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2b-hb=D³

Solve the equation for b.
a. b = (D³ + hb)/2
b. b = D³ - hb
c. b = (D³ - hb)/2
d. b = D³ + hb

1 Answer

3 votes

Final answer:

To find the value of b from the equation 2b - hb = D³, you need to factor out b and then divide by (2 - h), resulting in b = D³ / (2 - h). The provided options are incorrect.

Step-by-step explanation:

The equation given is 2b - hb = D³. To solve for b, we need to isolate b on one side of the equation. Here's the step-by-step solution:

  1. Combine like terms by factoring out b from the left side of the equation: b(2 - h) = D³.
  2. Divide both sides of the equation by (2 - h) to solve for b: b = D³ / (2 - h).

So the correct answer is not directly listed in the options provided because each option has made a mathematical error or presents an incorrect form of the solution. The correct answer for b is b = D³ / (2 - h), which must be derived from correctly rearranging the original equation.

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