8x^2+0.07x=0.07

Solution for 8x^2+0.07x=0.07 equation:

Simplifying
8x2 + 0.07x = 0.07

Reorder the terms:
0.07x + 8x2 = 0.07

Solving
0.07x + 8x2 = 0.07

Solving for variable 'x'.

Reorder the terms:
-0.07 + 0.07x + 8x2 = 0.07 + -0.07

Combine like terms: 0.07 + -0.07 = 0.00
-0.07 + 0.07x + 8x2 = 0.00

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

Divide each side by '8'.
-0.00875 + 0.00875x + x2 = 0.00

Move the constant term to the right:

Add '0.00875' to each side of the equation.
-0.00875 + 0.00875x + 0.00875 + x2 = 0.00 + 0.00875

Reorder the terms:
-0.00875 + 0.00875 + 0.00875x + x2 = 0.00 + 0.00875

Combine like terms: -0.00875 + 0.00875 = 0.00000
0.00000 + 0.00875x + x2 = 0.00 + 0.00875
0.00875x + x2 = 0.00 + 0.00875

Combine like terms: 0.00 + 0.00875 = 0.00875
0.00875x + x2 = 0.00875

The x term is 0.00875x.  Take half its coefficient (0.004375).
Square it (0.000019140625) and add it to both sides.

Add '0.000019140625' to each side of the equation.
0.00875x + 0.000019140625 + x2 = 0.00875 + 0.000019140625

Reorder the terms:
0.000019140625 + 0.00875x + x2 = 0.00875 + 0.000019140625

Combine like terms: 0.00875 + 0.000019140625 = 0.008769140625
0.000019140625 + 0.00875x + x2 = 0.008769140625

Factor a perfect square on the left side:
(x + 0.004375)(x + 0.004375) = 0.008769140625

Calculate the square root of the right side: 0.09364369

Break this problem into two subproblems by setting 
(x + 0.004375) equal to 0.09364369 and -0.09364369.

Subproblem 1
x + 0.004375 = 0.09364369

Simplifying
x + 0.004375 = 0.09364369

Reorder the terms:
0.004375 + x = 0.09364369

Solving
0.004375 + x = 0.09364369

Solving for variable 'x'.

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

Add '-0.004375' to each side of the equation.
0.004375 + -0.004375 + x = 0.09364369 + -0.004375

Combine like terms: 0.004375 + -0.004375 = 0.000000
0.000000 + x = 0.09364369 + -0.004375
x = 0.09364369 + -0.004375

Combine like terms: 0.09364369 + -0.004375 = 0.08926869
x = 0.08926869

Simplifying
x = 0.08926869

Subproblem 2
x + 0.004375 = -0.09364369

Simplifying
x + 0.004375 = -0.09364369

Reorder the terms:
0.004375 + x = -0.09364369

Solving
0.004375 + x = -0.09364369

Solving for variable 'x'.

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

Add '-0.004375' to each side of the equation.
0.004375 + -0.004375 + x = -0.09364369 + -0.004375

Combine like terms: 0.004375 + -0.004375 = 0.000000
0.000000 + x = -0.09364369 + -0.004375
x = -0.09364369 + -0.004375

Combine like terms: -0.09364369 + -0.004375 = -0.09801869
x = -0.09801869

Simplifying
x = -0.09801869

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.08926869, -0.09801869}