5h-7=2h(h+1)

Solution for 5h-7=2h(h+1) equation:

Simplifying
5h + -7 = 2h(h + 1)

Reorder the terms:
-7 + 5h = 2h(h + 1)

Reorder the terms:
-7 + 5h = 2h(1 + h)
-7 + 5h = (1 * 2h + h * 2h)
-7 + 5h = (2h + 2h2)

Solving
-7 + 5h = 2h + 2h2

Solving for variable 'h'.

Combine like terms: 5h + -2h = 3h
-7 + 3h + -2h2 = 2h + 2h2 + -2h + -2h2

Reorder the terms:
-7 + 3h + -2h2 = 2h + -2h + 2h2 + -2h2

Combine like terms: 2h + -2h = 0
-7 + 3h + -2h2 = 0 + 2h2 + -2h2
-7 + 3h + -2h2 = 2h2 + -2h2

Combine like terms: 2h2 + -2h2 = 0
-7 + 3h + -2h2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
3.5 + -1.5h + h2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -1.5h + -3.5 + h2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -1.5h + h2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1.5h + h2 = 0 + -3.5
-1.5h + h2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-1.5h + h2 = -3.5

The h term is -1.5h.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5h + 0.5625 + h2 = -3.5 + 0.5625

Reorder the terms:
0.5625 + -1.5h + h2 = -3.5 + 0.5625

Combine like terms: -3.5 + 0.5625 = -2.9375
0.5625 + -1.5h + h2 = -2.9375

Factor a perfect square on the left side:
(h + -0.75)(h + -0.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.