2(10*3w*w)+2(6*3w*h)+2(6*w*h)=c

Solution for 2(10*3w*w)+2(6*3w*h)+2(6*w*h)=c equation:

Simplifying
2(10 * 3w * w) + 2(6 * 3w * h) + 2(6w * h) = c

Multiply 10 * 3
2(30w * w) + 2(6 * 3w * h) + 2(6w * h) = c

Multiply w * w
2(30w2) + 2(6 * 3w * h) + 2(6w * h) = c

Remove parenthesis around (30w2)
2 * 30w2 + 2(6 * 3w * h) + 2(6w * h) = c

Multiply 2 * 30
60w2 + 2(6 * 3w * h) + 2(6w * h) = c

Multiply 6 * 3
60w2 + 2(18w * h) + 2(6w * h) = c

Multiply w * h
60w2 + 2(18hw) + 2(6w * h) = c

Remove parenthesis around (18hw)
60w2 + 2 * 18hw + 2(6w * h) = c

Multiply 2 * 18
60w2 + 36hw + 2(6w * h) = c

Multiply w * h
60w2 + 36hw + 2(6hw) = c

Remove parenthesis around (6hw)
60w2 + 36hw + 2 * 6hw = c

Multiply 2 * 6
60w2 + 36hw + 12hw = c

Reorder the terms:
36hw + 12hw + 60w2 = c

Combine like terms: 36hw + 12hw = 48hw
48hw + 60w2 = c

Solving
48hw + 60w2 = c

Solving for variable 'h'.

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

Add '-60w2' to each side of the equation.
48hw + 60w2 + -60w2 = c + -60w2

Combine like terms: 60w2 + -60w2 = 0
48hw + 0 = c + -60w2
48hw = c + -60w2

Divide each side by '48w'.
h = 0.02083333333cw-1 + -1.25w

Simplifying
h = 0.02083333333cw-1 + -1.25w