Rearrange the following equation to make h the subject. 4h + 5 = 9a − ha^2
To rearrange the equation to make h the subject, we will isolate h on one side of the equation.
Starting with the given equation: 4h + 5 = 9a − ha^2
First, let’s move all terms containing h to one side of the equation:
4h + ha^2 = 9a – 5
Next, let’s factor out h:
h(4 + a^2) = 9a – 5
Now, divide both sides of the equation by (4 + a^2) to solve for h:
h = (9a – 5) / (4 + a^2)
Therefore, the rearranged equation, with h as the subject, is h = (9a – 5) / (4 + a^2).
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