-115=5.01x+4.905x^2

Solution for -115=5.01x+4.905x^2 equation:

Simplifying
-115 = 5.01x + 4.905x2

Solving
-115 = 5.01x + 4.905x2

Solving for variable 'x'.

Reorder the terms:
-115 + -5.01x + -4.905x2 = 5.01x + -5.01x + 4.905x2 + -4.905x2

Combine like terms: 5.01x + -5.01x = 0.00
-115 + -5.01x + -4.905x2 = 0.00 + 4.905x2 + -4.905x2
-115 + -5.01x + -4.905x2 = 4.905x2 + -4.905x2

Combine like terms: 4.905x2 + -4.905x2 = 0.000
-115 + -5.01x + -4.905x2 = 0.000

Begin completing the square.  Divide all terms by
-4.905 the coefficient of the squared term: 

Divide each side by '-4.905'.
23.44546381 + 1.021406728x + x2 = 0

Move the constant term to the right:

Add '-23.44546381' to each side of the equation.
23.44546381 + 1.021406728x + -23.44546381 + x2 = 0 + -23.44546381

Reorder the terms:
23.44546381 + -23.44546381 + 1.021406728x + x2 = 0 + -23.44546381

Combine like terms: 23.44546381 + -23.44546381 = 0.00000000
0.00000000 + 1.021406728x + x2 = 0 + -23.44546381
1.021406728x + x2 = 0 + -23.44546381

Combine like terms: 0 + -23.44546381 = -23.44546381
1.021406728x + x2 = -23.44546381

The x term is 1.021406728x.  Take half its coefficient (0.510703364).
Square it (0.2608179260) and add it to both sides.

Add '0.2608179260' to each side of the equation.
1.021406728x + 0.2608179260 + x2 = -23.44546381 + 0.2608179260

Reorder the terms:
0.2608179260 + 1.021406728x + x2 = -23.44546381 + 0.2608179260

Combine like terms: -23.44546381 + 0.2608179260 = -23.184645884
0.2608179260 + 1.021406728x + x2 = -23.184645884

Factor a perfect square on the left side:
(x + 0.510703364)(x + 0.510703364) = -23.184645884

Can't calculate square root of the right side.

The solution to this equation could not be determined.