h(h+6)=3(2h+27)

Solution for h(h+6)=3(2h+27) equation:

Simplifying
h(h + 6) = 3(2h + 27)

Reorder the terms:
h(6 + h) = 3(2h + 27)
(6 * h + h * h) = 3(2h + 27)
(6h + h2) = 3(2h + 27)

Reorder the terms:
6h + h2 = 3(27 + 2h)
6h + h2 = (27 * 3 + 2h * 3)
6h + h2 = (81 + 6h)

Add '-6h' to each side of the equation.
6h + -6h + h2 = 81 + 6h + -6h

Combine like terms: 6h + -6h = 0
0 + h2 = 81 + 6h + -6h
h2 = 81 + 6h + -6h

Combine like terms: 6h + -6h = 0
h2 = 81 + 0
h2 = 81

Solving
h2 = 81

Solving for variable 'h'.

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

Simplifying
h2 = 81

Take the square root of each side:
h = {-9, 9}