Make n the subject of the formulae

Question

m=3√ax²-n/w-n

Answer 1

To make n the subject of the formula, we need to isolate it on one side of the equation.

Given equation: m = 3√(ax² - n/w - n)

Step 1: Square both sides of the equation to remove the cube root.
m² = 9(ax² - n/w - n)

Step 2: Expand the equation.
m² = 9ax² - 9n/w - 9n

Step 3: Move the terms containing n to one side of the equation.
9n/w + 9n = 9ax² - m²

Step 4: Combine like terms.
(9 + 9/w)n = 9ax² - m²

Step 5: Divide both sides of the equation by (9 + 9/w) to isolate n.
n = (9ax² - m²)/(9 + 9/w)

Therefore, n is the subject of the given equation when rearranged.