7.35=-4.9h^2+12.25h+0

Solution for 7.35=-4.9h^2+12.25h+0 equation:

Simplifying
7.35 = -4.9h2 + 12.25h + 0

Reorder the terms:
7.35 = 0 + 12.25h + -4.9h2
Remove the zero:
7.35 = 12.25h + -4.9h2

Solving
7.35 = 12.25h + -4.9h2

Solving for variable 'h'.

Reorder the terms:
7.35 + -12.25h + 4.9h2 = 12.25h + -12.25h + -4.9h2 + 4.9h2

Combine like terms: 12.25h + -12.25h = 0.00
7.35 + -12.25h + 4.9h2 = 0.00 + -4.9h2 + 4.9h2
7.35 + -12.25h + 4.9h2 = -4.9h2 + 4.9h2

Combine like terms: -4.9h2 + 4.9h2 = 0.0
7.35 + -12.25h + 4.9h2 = 0.0

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

Divide each side by '4.9'.
1.5 + -2.5h + h2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2.5h + -1.5 + h2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2.5h + h2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2.5h + h2 = 0 + -1.5
-2.5h + h2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2.5h + h2 = -1.5

The h term is -2.5h.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5h + 1.5625 + h2 = -1.5 + 1.5625

Reorder the terms:
1.5625 + -2.5h + h2 = -1.5 + 1.5625

Combine like terms: -1.5 + 1.5625 = 0.0625
1.5625 + -2.5h + h2 = 0.0625

Factor a perfect square on the left side:
(h + -1.25)(h + -1.25) = 0.0625

Calculate the square root of the right side: 0.25

Break this problem into two subproblems by setting 
(h + -1.25) equal to 0.25 and -0.25.

Subproblem 1
h + -1.25 = 0.25

Simplifying
h + -1.25 = 0.25

Reorder the terms:
-1.25 + h = 0.25

Solving
-1.25 + h = 0.25

Solving for variable 'h'.

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + h = 0.25 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + h = 0.25 + 1.25
h = 0.25 + 1.25

Combine like terms: 0.25 + 1.25 = 1.5
h = 1.5

Simplifying
h = 1.5

Subproblem 2
h + -1.25 = -0.25

Simplifying
h + -1.25 = -0.25

Reorder the terms:
-1.25 + h = -0.25

Solving
-1.25 + h = -0.25

Solving for variable 'h'.

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + h = -0.25 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + h = -0.25 + 1.25
h = -0.25 + 1.25

Combine like terms: -0.25 + 1.25 = 1
h = 1

Simplifying
h = 1

Solution
The solution to the problem is based on the solutions
from the subproblems.
h = {1.5, 1}