(1.8)(9-w)(0.3)-(3.6w)(0.3)=0

Solution for (1.8)(9-w)(0.3)-(3.6w)(0.3)=0 equation:

Simplifying
(1.8)(9 + -1w)(0.3) + -1(3.6w)(0.3) = 0

Reorder the terms for easier multiplication:
1.8 * 0.3(9 + -1w) + -1(3.6w)(0.3) = 0

Multiply 1.8 * 0.3
0.54(9 + -1w) + -1(3.6w)(0.3) = 0
(9 * 0.54 + -1w * 0.54) + -1(3.6w)(0.3) = 0
(4.86 + -0.54w) + -1(3.6w)(0.3) = 0

Remove parenthesis around (3.6w)
4.86 + -0.54w + -1 * 3.6w(0.3) = 0

Reorder the terms for easier multiplication:
4.86 + -0.54w + -1 * 3.6 * 0.3w = 0

Multiply -1 * 3.6
4.86 + -0.54w + -3.6 * 0.3w = 0

Multiply -3.6 * 0.3
4.86 + -0.54w + -1.08w = 0

Combine like terms: -0.54w + -1.08w = -1.62w
4.86 + -1.62w = 0

Solving
4.86 + -1.62w = 0

Solving for variable 'w'.

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

Add '-4.86' to each side of the equation.
4.86 + -4.86 + -1.62w = 0 + -4.86

Combine like terms: 4.86 + -4.86 = 0.00
0.00 + -1.62w = 0 + -4.86
-1.62w = 0 + -4.86

Combine like terms: 0 + -4.86 = -4.86
-1.62w = -4.86

Divide each side by '-1.62'.
w = 3

Simplifying
w = 3