0.018-0.15x=x^2

Solution for 0.018-0.15x=x^2 equation:

Simplifying
0.018 + -0.15x = x2

Solving
0.018 + -0.15x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
0.018 + -0.15x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-0.018 + 0.15x + x2 = 0

Move the constant term to the right:

Add '0.018' to each side of the equation.
-0.018 + 0.15x + 0.018 + x2 = 0 + 0.018

Reorder the terms:
-0.018 + 0.018 + 0.15x + x2 = 0 + 0.018

Combine like terms: -0.018 + 0.018 = 0.000
0.000 + 0.15x + x2 = 0 + 0.018
0.15x + x2 = 0 + 0.018

Combine like terms: 0 + 0.018 = 0.018
0.15x + x2 = 0.018

The x term is 0.15x.  Take half its coefficient (0.075).
Square it (0.005625) and add it to both sides.

Add '0.005625' to each side of the equation.
0.15x + 0.005625 + x2 = 0.018 + 0.005625

Reorder the terms:
0.005625 + 0.15x + x2 = 0.018 + 0.005625

Combine like terms: 0.018 + 0.005625 = 0.023625
0.005625 + 0.15x + x2 = 0.023625

Factor a perfect square on the left side:
(x + 0.075)(x + 0.075) = 0.023625

Calculate the square root of the right side: 0.153704261

Break this problem into two subproblems by setting 
(x + 0.075) equal to 0.153704261 and -0.153704261.

Subproblem 1
x + 0.075 = 0.153704261

Simplifying
x + 0.075 = 0.153704261

Reorder the terms:
0.075 + x = 0.153704261

Solving
0.075 + x = 0.153704261

Solving for variable 'x'.

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

Add '-0.075' to each side of the equation.
0.075 + -0.075 + x = 0.153704261 + -0.075

Combine like terms: 0.075 + -0.075 = 0.000
0.000 + x = 0.153704261 + -0.075
x = 0.153704261 + -0.075

Combine like terms: 0.153704261 + -0.075 = 0.078704261
x = 0.078704261

Simplifying
x = 0.078704261

Subproblem 2
x + 0.075 = -0.153704261

Simplifying
x + 0.075 = -0.153704261

Reorder the terms:
0.075 + x = -0.153704261

Solving
0.075 + x = -0.153704261

Solving for variable 'x'.

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

Add '-0.075' to each side of the equation.
0.075 + -0.075 + x = -0.153704261 + -0.075

Combine like terms: 0.075 + -0.075 = 0.000
0.000 + x = -0.153704261 + -0.075
x = -0.153704261 + -0.075

Combine like terms: -0.153704261 + -0.075 = -0.228704261
x = -0.228704261

Simplifying
x = -0.228704261

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.078704261, -0.228704261}