Rearrange formulas to isolate a chosen quantity, including formulas with quadratic terms.
Rearrange a formula to isolate one variable using inverse operations
Problem
Rearrange \(P=2(l+w)\) to solve for \(l\). First remove the outside factor, then isolate \(l\) inside the resulting sum.
Big Picture
What this problem is really about
The target variable sits inside a sum, and that whole sum is multiplied by two, so we undo operations from the outside inward. We’ll remove the outside factor first, then subtract the other term in the sum, keeping every operation balanced on both sides.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
