(.0000007524)-(0.000038x)-(4x^2)=0

Solution for (.0000007524)-(0.000038x)-(4x^2)=0 equation:

Simplifying
(0.0000007524) + -1(0.000038x) + -1(4x2) = 0
0.0000007524 + -1(0.000038x) + -1(4x2) = 0

Remove parenthesis around (0.000038x)
0.0000007524 + -1 * 0.000038x + -1(4x2) = 0

Multiply -1 * 0.000038
0.0000007524 + -0.000038x + -1(4x2) = 0

Remove parenthesis around (4x2)
0.0000007524 + -0.000038x + -1 * 4x2 = 0

Multiply -1 * 4
0.0000007524 + -0.000038x + -4x2 = 0

Solving
0.0000007524 + -0.000038x + -4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
-0.0000001881 + 0.0000095x + x2 = 0

Move the constant term to the right:

Add '0.0000001881' to each side of the equation.
-0.0000001881 + 0.0000095x + 0.0000001881 + x2 = 0 + 0.0000001881

Reorder the terms:
-0.0000001881 + 0.0000001881 + 0.0000095x + x2 = 0 + 0.0000001881

Combine like terms: -0.0000001881 + 0.0000001881 = 0.0000000000
0.0000000000 + 0.0000095x + x2 = 0 + 0.0000001881
0.0000095x + x2 = 0 + 0.0000001881

Combine like terms: 0 + 0.0000001881 = 0.0000001881
0.0000095x + x2 = 0.0000001881

The x term is 0.0000095x.  Take half its coefficient (0.00000475).
Square it (0.0000000000225625) and add it to both sides.

Add '0.0000000000225625' to each side of the equation.
0.0000095x + 0.0000000000225625 + x2 = 0.0000001881 + 0.0000000000225625

Reorder the terms:
0.0000000000225625 + 0.0000095x + x2 = 0.0000001881 + 0.0000000000225625

Combine like terms: 0.0000001881 + 0.0000000000225625 = 0.0000001881225625
0.0000000000225625 + 0.0000095x + x2 = 0.0000001881225625

Factor a perfect square on the left side:
(x + 0.00000475)(x + 0.00000475) = 0.0000001881225625

Calculate the square root of the right side: 0.000433731

Break this problem into two subproblems by setting 
(x + 0.00000475) equal to 0.000433731 and -0.000433731.

Subproblem 1
x + 0.00000475 = 0.000433731

Simplifying
x + 0.00000475 = 0.000433731

Reorder the terms:
0.00000475 + x = 0.000433731

Solving
0.00000475 + x = 0.000433731

Solving for variable 'x'.

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

Add '-0.00000475' to each side of the equation.
0.00000475 + -0.00000475 + x = 0.000433731 + -0.00000475

Combine like terms: 0.00000475 + -0.00000475 = 0.00000000
0.00000000 + x = 0.000433731 + -0.00000475
x = 0.000433731 + -0.00000475

Combine like terms: 0.000433731 + -0.00000475 = 0.000428981
x = 0.000428981

Simplifying
x = 0.000428981

Subproblem 2
x + 0.00000475 = -0.000433731

Simplifying
x + 0.00000475 = -0.000433731

Reorder the terms:
0.00000475 + x = -0.000433731

Solving
0.00000475 + x = -0.000433731

Solving for variable 'x'.

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

Add '-0.00000475' to each side of the equation.
0.00000475 + -0.00000475 + x = -0.000433731 + -0.00000475

Combine like terms: 0.00000475 + -0.00000475 = 0.00000000
0.00000000 + x = -0.000433731 + -0.00000475
x = -0.000433731 + -0.00000475

Combine like terms: -0.000433731 + -0.00000475 = -0.000438481
x = -0.000438481

Simplifying
x = -0.000438481

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.000428981, -0.000438481}