4h(2+h)+7=

Solution for 4h(2+h)+7= equation:

Simplifying
4h(2 + h) + 7 = 0
(2 * 4h + h * 4h) + 7 = 0
(8h + 4h2) + 7 = 0

Reorder the terms:
7 + 8h + 4h2 = 0

Solving
7 + 8h + 4h2 = 0

Solving for variable 'h'.

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

Divide each side by '4'.
1.75 + 2h + h2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + 2h + -1.75 + h2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + 2h + h2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + 2h + h2 = 0 + -1.75
2h + h2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
2h + h2 = -1.75

The h term is 2h.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2h + 1 + h2 = -1.75 + 1

Reorder the terms:
1 + 2h + h2 = -1.75 + 1

Combine like terms: -1.75 + 1 = -0.75
1 + 2h + h2 = -0.75

Factor a perfect square on the left side:
(h + 1)(h + 1) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.