a^2+15a+58=0

Solution for a^2+15a+58=0 equation:

Simplifying
a2 + 15a + 58 = 0

Reorder the terms:
58 + 15a + a2 = 0

Solving
58 + 15a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-58' to each side of the equation.
58 + 15a + -58 + a2 = 0 + -58

Reorder the terms:
58 + -58 + 15a + a2 = 0 + -58

Combine like terms: 58 + -58 = 0
0 + 15a + a2 = 0 + -58
15a + a2 = 0 + -58

Combine like terms: 0 + -58 = -58
15a + a2 = -58

The a term is 15a.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15a + 56.25 + a2 = -58 + 56.25

Reorder the terms:
56.25 + 15a + a2 = -58 + 56.25

Combine like terms: -58 + 56.25 = -1.75
56.25 + 15a + a2 = -1.75

Factor a perfect square on the left side:
(a + 7.5)(a + 7.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.