2 years ago

How do you solve 2A= 4lw+2Lh+6wH for w

Physics

1 answer:

gizmo_the_mogwai [7]2 years ago

6 0

Answer:

$\displaystyle w=\frac{A-Lh}{2l+3H}$

Explanation:

Solving Equations by Isolation

We have this equation:

$2A= 4lw+2Lh+6wH$

Let's solve it for w step by step. First, we flip both sides

$4lw+2Lh+6wH =2A$

Subtracting 2Lh in both sides

$4lw+2Lh+6wH-2Lh =2A-2Lh$

Simplifying

$4lw+6wH =2A-2Lh$

Factoring w

$w(4l+6H) =2A-2Lh$

Dividing by (4l+6H)

$\displaystyle w=\frac{2A-2Lh}{4l+6H}$

Simplifying by 2:

$\displaystyle \boxed{w=\frac{A-Lh}{2l+3H}}$

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