84in^2=(w+3)(w+w+3)

Solution for 84in^2=(w+3)(w+w+3) equation:

Simplifying
84in2 = (w + 3)(w + w + 3)

Reorder the terms:
84in2 = (3 + w)(w + w + 3)

Reorder the terms:
84in2 = (3 + w)(3 + w + w)

Combine like terms: w + w = 2w
84in2 = (3 + w)(3 + 2w)

Multiply (3 + w) * (3 + 2w)
84in2 = (3(3 + 2w) + w(3 + 2w))
84in2 = ((3 * 3 + 2w * 3) + w(3 + 2w))
84in2 = ((9 + 6w) + w(3 + 2w))
84in2 = (9 + 6w + (3 * w + 2w * w))
84in2 = (9 + 6w + (3w + 2w2))

Combine like terms: 6w + 3w = 9w
84in2 = (9 + 9w + 2w2)

Solving
84in2 = 9 + 9w + 2w2

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Divide each side by '84n2'.
i = 0.1071428571n-2 + 0.1071428571n-2w + 0.02380952381n-2w2

Simplifying
i = 0.1071428571n-2 + 0.1071428571n-2w + 0.02380952381n-2w2