52h^2+2h+5=0

Solution for 52h^2+2h+5=0 equation:

Simplifying
52h2 + 2h + 5 = 0

Reorder the terms:
5 + 2h + 52h2 = 0

Solving
5 + 2h + 52h2 = 0

Solving for variable 'h'.

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

Divide each side by '52'.
0.09615384615 + 0.03846153846h + h2 = 0

Move the constant term to the right:

Add '-0.09615384615' to each side of the equation.
0.09615384615 + 0.03846153846h + -0.09615384615 + h2 = 0 + -0.09615384615

Reorder the terms:
0.09615384615 + -0.09615384615 + 0.03846153846h + h2 = 0 + -0.09615384615

Combine like terms: 0.09615384615 + -0.09615384615 = 0.00000000000
0.00000000000 + 0.03846153846h + h2 = 0 + -0.09615384615
0.03846153846h + h2 = 0 + -0.09615384615

Combine like terms: 0 + -0.09615384615 = -0.09615384615
0.03846153846h + h2 = -0.09615384615

The h term is 0.03846153846h.  Take half its coefficient (0.01923076923).
Square it (0.0003698224852) and add it to both sides.

Add '0.0003698224852' to each side of the equation.
0.03846153846h + 0.0003698224852 + h2 = -0.09615384615 + 0.0003698224852

Reorder the terms:
0.0003698224852 + 0.03846153846h + h2 = -0.09615384615 + 0.0003698224852

Combine like terms: -0.09615384615 + 0.0003698224852 = -0.0957840236648
0.0003698224852 + 0.03846153846h + h2 = -0.0957840236648

Factor a perfect square on the left side:
(h + 0.01923076923)(h + 0.01923076923) = -0.0957840236648

Can't calculate square root of the right side.

The solution to this equation could not be determined.