4h(h+2)=3(h-2)

Solution for 4h(h+2)=3(h-2) equation:

Simplifying
4h(h + 2) = 3(h + -2)

Reorder the terms:
4h(2 + h) = 3(h + -2)
(2 * 4h + h * 4h) = 3(h + -2)
(8h + 4h2) = 3(h + -2)

Reorder the terms:
8h + 4h2 = 3(-2 + h)
8h + 4h2 = (-2 * 3 + h * 3)
8h + 4h2 = (-6 + 3h)

Solving
8h + 4h2 = -6 + 3h

Solving for variable 'h'.

Reorder the terms:
6 + 8h + -3h + 4h2 = -6 + 3h + 6 + -3h

Combine like terms: 8h + -3h = 5h
6 + 5h + 4h2 = -6 + 3h + 6 + -3h

Reorder the terms:
6 + 5h + 4h2 = -6 + 6 + 3h + -3h

Combine like terms: -6 + 6 = 0
6 + 5h + 4h2 = 0 + 3h + -3h
6 + 5h + 4h2 = 3h + -3h

Combine like terms: 3h + -3h = 0
6 + 5h + 4h2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1.5 + 1.25h + h2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 1.25h + -1.5 + h2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 1.25h + h2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.25h + h2 = 0 + -1.5
1.25h + h2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
1.25h + h2 = -1.5

The h term is 1.25h.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25h + 0.390625 + h2 = -1.5 + 0.390625

Reorder the terms:
0.390625 + 1.25h + h2 = -1.5 + 0.390625

Combine like terms: -1.5 + 0.390625 = -1.109375
0.390625 + 1.25h + h2 = -1.109375

Factor a perfect square on the left side:
(h + 0.625)(h + 0.625) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.