Solve for a a=1/2*(h(a+b))

Problem

a=1/2*h*(a+b)

Solution

1. Distribute the term 1/2*h into the parentheses on the right side of the equation.

a=1/2*h*a+1/2*h*b

2. Isolate the terms containing a by subtracting 1/2*h*a from both sides.

a−1/2*h*a=1/2*h*b

3. Factor out the common variable a from the left side.

a*(1−1/2*h)=1/2*h*b

4. Divide both sides by the expression (1−1/2*h) to solve for a

a=(1/2*h*b)/(1−1/2*h)

5. Simplify the complex fraction by multiplying the numerator and the denominator by 2

a=(h*b)/(2−h)

Final Answer

a=(h*b)/(2−h)

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