225.1=.092x^2+.64x+150.754

Solution for 225.1=.092x^2+.64x+150.754 equation:

Simplifying
225.1 = 0.092x2 + 0.64x + 150.754

Reorder the terms:
225.1 = 150.754 + 0.64x + 0.092x2

Solving
225.1 = 150.754 + 0.64x + 0.092x2

Solving for variable 'x'.

Combine like terms: 225.1 + -150.754 = 74.346
74.346 + -0.64x + -0.092x2 = 150.754 + 0.64x + 0.092x2 + -150.754 + -0.64x + -0.092x2

Reorder the terms:
74.346 + -0.64x + -0.092x2 = 150.754 + -150.754 + 0.64x + -0.64x + 0.092x2 + -0.092x2

Combine like terms: 150.754 + -150.754 = 0.000
74.346 + -0.64x + -0.092x2 = 0.000 + 0.64x + -0.64x + 0.092x2 + -0.092x2
74.346 + -0.64x + -0.092x2 = 0.64x + -0.64x + 0.092x2 + -0.092x2

Combine like terms: 0.64x + -0.64x = 0.00
74.346 + -0.64x + -0.092x2 = 0.00 + 0.092x2 + -0.092x2
74.346 + -0.64x + -0.092x2 = 0.092x2 + -0.092x2

Combine like terms: 0.092x2 + -0.092x2 = 0.000
74.346 + -0.64x + -0.092x2 = 0.000

Begin completing the square.  Divide all terms by
-0.092 the coefficient of the squared term: 

Divide each side by '-0.092'.
-808.1086957 + 6.956521739x + x2 = 0

Move the constant term to the right:

Add '808.1086957' to each side of the equation.
-808.1086957 + 6.956521739x + 808.1086957 + x2 = 0 + 808.1086957

Reorder the terms:
-808.1086957 + 808.1086957 + 6.956521739x + x2 = 0 + 808.1086957

Combine like terms: -808.1086957 + 808.1086957 = 0.0000000
0.0000000 + 6.956521739x + x2 = 0 + 808.1086957
6.956521739x + x2 = 0 + 808.1086957

Combine like terms: 0 + 808.1086957 = 808.1086957
6.956521739x + x2 = 808.1086957

The x term is 6.956521739x.  Take half its coefficient (3.47826087).
Square it (12.09829868) and add it to both sides.

Add '12.09829868' to each side of the equation.
6.956521739x + 12.09829868 + x2 = 808.1086957 + 12.09829868

Reorder the terms:
12.09829868 + 6.956521739x + x2 = 808.1086957 + 12.09829868

Combine like terms: 808.1086957 + 12.09829868 = 820.20699438
12.09829868 + 6.956521739x + x2 = 820.20699438

Factor a perfect square on the left side:
(x + 3.47826087)(x + 3.47826087) = 820.20699438

Calculate the square root of the right side: 28.639256177

Break this problem into two subproblems by setting 
(x + 3.47826087) equal to 28.639256177 and -28.639256177.

Subproblem 1
x + 3.47826087 = 28.639256177

Simplifying
x + 3.47826087 = 28.639256177

Reorder the terms:
3.47826087 + x = 28.639256177

Solving
3.47826087 + x = 28.639256177

Solving for variable 'x'.

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

Add '-3.47826087' to each side of the equation.
3.47826087 + -3.47826087 + x = 28.639256177 + -3.47826087

Combine like terms: 3.47826087 + -3.47826087 = 0.00000000
0.00000000 + x = 28.639256177 + -3.47826087
x = 28.639256177 + -3.47826087

Combine like terms: 28.639256177 + -3.47826087 = 25.160995307
x = 25.160995307

Simplifying
x = 25.160995307

Subproblem 2
x + 3.47826087 = -28.639256177

Simplifying
x + 3.47826087 = -28.639256177

Reorder the terms:
3.47826087 + x = -28.639256177

Solving
3.47826087 + x = -28.639256177

Solving for variable 'x'.

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

Add '-3.47826087' to each side of the equation.
3.47826087 + -3.47826087 + x = -28.639256177 + -3.47826087

Combine like terms: 3.47826087 + -3.47826087 = 0.00000000
0.00000000 + x = -28.639256177 + -3.47826087
x = -28.639256177 + -3.47826087

Combine like terms: -28.639256177 + -3.47826087 = -32.117517047
x = -32.117517047

Simplifying
x = -32.117517047

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {25.160995307, -32.117517047}