.35=.1018x^2+.1023x+.0298

Solution for .35=.1018x^2+.1023x+.0298 equation:

Simplifying
0.35 = 0.1018x2 + 0.1023x + 0.0298

Reorder the terms:
0.35 = 0.0298 + 0.1023x + 0.1018x2

Solving
0.35 = 0.0298 + 0.1023x + 0.1018x2

Solving for variable 'x'.

Combine like terms: 0.35 + -0.0298 = 0.3202
0.3202 + -0.1023x + -0.1018x2 = 0.0298 + 0.1023x + 0.1018x2 + -0.0298 + -0.1023x + -0.1018x2

Reorder the terms:
0.3202 + -0.1023x + -0.1018x2 = 0.0298 + -0.0298 + 0.1023x + -0.1023x + 0.1018x2 + -0.1018x2

Combine like terms: 0.0298 + -0.0298 = 0.0000
0.3202 + -0.1023x + -0.1018x2 = 0.0000 + 0.1023x + -0.1023x + 0.1018x2 + -0.1018x2
0.3202 + -0.1023x + -0.1018x2 = 0.1023x + -0.1023x + 0.1018x2 + -0.1018x2

Combine like terms: 0.1023x + -0.1023x = 0.0000
0.3202 + -0.1023x + -0.1018x2 = 0.0000 + 0.1018x2 + -0.1018x2
0.3202 + -0.1023x + -0.1018x2 = 0.1018x2 + -0.1018x2

Combine like terms: 0.1018x2 + -0.1018x2 = 0.0000
0.3202 + -0.1023x + -0.1018x2 = 0.0000

Begin completing the square.  Divide all terms by
-0.1018 the coefficient of the squared term: 

Divide each side by '-0.1018'.
-3.145383104 + 1.004911591x + x2 = 0

Move the constant term to the right:

Add '3.145383104' to each side of the equation.
-3.145383104 + 1.004911591x + 3.145383104 + x2 = 0 + 3.145383104

Reorder the terms:
-3.145383104 + 3.145383104 + 1.004911591x + x2 = 0 + 3.145383104

Combine like terms: -3.145383104 + 3.145383104 = 0.000000000
0.000000000 + 1.004911591x + x2 = 0 + 3.145383104
1.004911591x + x2 = 0 + 3.145383104

Combine like terms: 0 + 3.145383104 = 3.145383104
1.004911591x + x2 = 3.145383104

The x term is 1.004911591x.  Take half its coefficient (0.5024557955).
Square it (0.2524618264) and add it to both sides.

Add '0.2524618264' to each side of the equation.
1.004911591x + 0.2524618264 + x2 = 3.145383104 + 0.2524618264

Reorder the terms:
0.2524618264 + 1.004911591x + x2 = 3.145383104 + 0.2524618264

Combine like terms: 3.145383104 + 0.2524618264 = 3.3978449304
0.2524618264 + 1.004911591x + x2 = 3.3978449304

Factor a perfect square on the left side:
(x + 0.5024557955)(x + 0.5024557955) = 3.3978449304

Calculate the square root of the right side: 1.843324424

Break this problem into two subproblems by setting 
(x + 0.5024557955) equal to 1.843324424 and -1.843324424.

Subproblem 1
x + 0.5024557955 = 1.843324424

Simplifying
x + 0.5024557955 = 1.843324424

Reorder the terms:
0.5024557955 + x = 1.843324424

Solving
0.5024557955 + x = 1.843324424

Solving for variable 'x'.

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

Add '-0.5024557955' to each side of the equation.
0.5024557955 + -0.5024557955 + x = 1.843324424 + -0.5024557955

Combine like terms: 0.5024557955 + -0.5024557955 = 0.0000000000
0.0000000000 + x = 1.843324424 + -0.5024557955
x = 1.843324424 + -0.5024557955

Combine like terms: 1.843324424 + -0.5024557955 = 1.3408686285
x = 1.3408686285

Simplifying
x = 1.3408686285

Subproblem 2
x + 0.5024557955 = -1.843324424

Simplifying
x + 0.5024557955 = -1.843324424

Reorder the terms:
0.5024557955 + x = -1.843324424

Solving
0.5024557955 + x = -1.843324424

Solving for variable 'x'.

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

Add '-0.5024557955' to each side of the equation.
0.5024557955 + -0.5024557955 + x = -1.843324424 + -0.5024557955

Combine like terms: 0.5024557955 + -0.5024557955 = 0.0000000000
0.0000000000 + x = -1.843324424 + -0.5024557955
x = -1.843324424 + -0.5024557955

Combine like terms: -1.843324424 + -0.5024557955 = -2.3457802195
x = -2.3457802195

Simplifying
x = -2.3457802195

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.3408686285, -2.3457802195}