solve for d
(p/(d+b))=(g/d)
cross-multiply
dp = dg + bg
dp - dg = bg
d(p - g) = bg
d = bg/(p-g)
To solve for d in the equation:
(p/(d+b)) = (g/d)
We can begin by cross multiplying:
p * d = g * (d + b)
Expand the right side of the equation:
p * d = g * d + g * b
Next, subtract g * d from both sides of the equation to isolate the variable d:
p * d - g * d = g * b
Factor out the common term d:
d * (p - g) = g * b
Finally, divide both sides of the equation by (p - g) to solve for d:
d = (g * b) / (p - g)
Therefore, the value of d is (g * b) / (p - g).
To solve for d in the equation (p/(d+b))=(g/d), we can follow these steps:
Step 1: We'll start by cross-multiplying the equation to eliminate the fractions. Multiply both sides of the equation by (d + b) and by d:
(p/(d+b)) * (d + b) * d = (g/d) * (d + b) * d
This simplifies to:
p * d = g * (d + b)
Step 2: Expand the equation by distributing the g to both terms within the parentheses:
p * d = g * d + g * b
Step 3: Move all terms involving d to one side of the equation by subtracting g * d from both sides:
p * d - g * d = g * b
This simplifies to:
(d * (p - g)) = g * b
Step 4: Finally, divide both sides of the equation by (p - g) to isolate the variable d:
d = (g * b) / (p - g)
Therefore, the value of d is equal to (g * b) divided by (p - g).