70x^2+x-0.245=0

Solution for 70x^2+x-0.245=0 equation:

Simplifying
70x2 + x + -0.245 = 0

Reorder the terms:
-0.245 + x + 70x2 = 0

Solving
-0.245 + x + 70x2 = 0

Solving for variable 'x'.

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

Divide each side by '70'.
-0.0035 + 0.01428571429x + x2 = 0

Move the constant term to the right:

Add '0.0035' to each side of the equation.
-0.0035 + 0.01428571429x + 0.0035 + x2 = 0 + 0.0035

Reorder the terms:
-0.0035 + 0.0035 + 0.01428571429x + x2 = 0 + 0.0035

Combine like terms: -0.0035 + 0.0035 = 0.0000
0.0000 + 0.01428571429x + x2 = 0 + 0.0035
0.01428571429x + x2 = 0 + 0.0035

Combine like terms: 0 + 0.0035 = 0.0035
0.01428571429x + x2 = 0.0035

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.01428571429x + 0.25 + x2 = 0.0035 + 0.25

Reorder the terms:
0.25 + 0.01428571429x + x2 = 0.0035 + 0.25

Combine like terms: 0.0035 + 0.25 = 0.2535
0.25 + 0.01428571429x + x2 = 0.2535

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 0.2535

Calculate the square root of the right side: 0.503487835

Break this problem into two subproblems by setting 
(x + 0.5) equal to 0.503487835 and -0.503487835.

Subproblem 1
x + 0.5 = 0.503487835

Simplifying
x + 0.5 = 0.503487835

Reorder the terms:
0.5 + x = 0.503487835

Solving
0.5 + x = 0.503487835

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 0.503487835 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 0.503487835 + -0.5
x = 0.503487835 + -0.5

Combine like terms: 0.503487835 + -0.5 = 0.003487835
x = 0.003487835

Simplifying
x = 0.003487835

Subproblem 2
x + 0.5 = -0.503487835

Simplifying
x + 0.5 = -0.503487835

Reorder the terms:
0.5 + x = -0.503487835

Solving
0.5 + x = -0.503487835

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -0.503487835 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -0.503487835 + -0.5
x = -0.503487835 + -0.5

Combine like terms: -0.503487835 + -0.5 = -1.003487835
x = -1.003487835

Simplifying
x = -1.003487835

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.003487835, -1.003487835}