w*w=(w+9)(w-6)

Solution for w*w=(w+9)(w-6) equation:

Simplifying
w * w = (w + 9)(w + -6)

Multiply w * w
w2 = (w + 9)(w + -6)

Reorder the terms:
w2 = (9 + w)(w + -6)

Reorder the terms:
w2 = (9 + w)(-6 + w)

Multiply (9 + w) * (-6 + w)
w2 = (9(-6 + w) + w(-6 + w))
w2 = ((-6 * 9 + w * 9) + w(-6 + w))
w2 = ((-54 + 9w) + w(-6 + w))
w2 = (-54 + 9w + (-6 * w + w * w))
w2 = (-54 + 9w + (-6w + w2))

Combine like terms: 9w + -6w = 3w
w2 = (-54 + 3w + w2)

Add '-1w2' to each side of the equation.
w2 + -1w2 = -54 + 3w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
0 = -54 + 3w + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
0 = -54 + 3w + 0
0 = -54 + 3w

Solving
0 = -54 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
0 + -3w = -54 + 3w + -3w
Remove the zero:
-3w = -54 + 3w + -3w

Combine like terms: 3w + -3w = 0
-3w = -54 + 0
-3w = -54

Divide each side by '-3'.
w = 18

Simplifying
w = 18