0.007x^2+0.02x-150=0

Solution for 0.007x^2+0.02x-150=0 equation:

Simplifying
0.007x2 + 0.02x + -150 = 0

Reorder the terms:
-150 + 0.02x + 0.007x2 = 0

Solving
-150 + 0.02x + 0.007x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.007'.
-21428.57143 + 2.857142857x + x2 = 0

Move the constant term to the right:

Add '21428.57143' to each side of the equation.
-21428.57143 + 2.857142857x + 21428.57143 + x2 = 0 + 21428.57143

Reorder the terms:
-21428.57143 + 21428.57143 + 2.857142857x + x2 = 0 + 21428.57143

Combine like terms: -21428.57143 + 21428.57143 = 0.00000
0.00000 + 2.857142857x + x2 = 0 + 21428.57143
2.857142857x + x2 = 0 + 21428.57143

Combine like terms: 0 + 21428.57143 = 21428.57143
2.857142857x + x2 = 21428.57143

The x term is 2.857142857x.  Take half its coefficient (1.428571429).
Square it (2.040816328) and add it to both sides.

Add '2.040816328' to each side of the equation.
2.857142857x + 2.040816328 + x2 = 21428.57143 + 2.040816328

Reorder the terms:
2.040816328 + 2.857142857x + x2 = 21428.57143 + 2.040816328

Combine like terms: 21428.57143 + 2.040816328 = 21430.612246328
2.040816328 + 2.857142857x + x2 = 21430.612246328

Factor a perfect square on the left side:
(x + 1.428571429)(x + 1.428571429) = 21430.612246328

Calculate the square root of the right side: 146.391981496

Break this problem into two subproblems by setting 
(x + 1.428571429) equal to 146.391981496 and -146.391981496.

Subproblem 1
x + 1.428571429 = 146.391981496

Simplifying
x + 1.428571429 = 146.391981496

Reorder the terms:
1.428571429 + x = 146.391981496

Solving
1.428571429 + x = 146.391981496

Solving for variable 'x'.

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

Add '-1.428571429' to each side of the equation.
1.428571429 + -1.428571429 + x = 146.391981496 + -1.428571429

Combine like terms: 1.428571429 + -1.428571429 = 0.000000000
0.000000000 + x = 146.391981496 + -1.428571429
x = 146.391981496 + -1.428571429

Combine like terms: 146.391981496 + -1.428571429 = 144.963410067
x = 144.963410067

Simplifying
x = 144.963410067

Subproblem 2
x + 1.428571429 = -146.391981496

Simplifying
x + 1.428571429 = -146.391981496

Reorder the terms:
1.428571429 + x = -146.391981496

Solving
1.428571429 + x = -146.391981496

Solving for variable 'x'.

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

Add '-1.428571429' to each side of the equation.
1.428571429 + -1.428571429 + x = -146.391981496 + -1.428571429

Combine like terms: 1.428571429 + -1.428571429 = 0.000000000
0.000000000 + x = -146.391981496 + -1.428571429
x = -146.391981496 + -1.428571429

Combine like terms: -146.391981496 + -1.428571429 = -147.820552925
x = -147.820552925

Simplifying
x = -147.820552925

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {144.963410067, -147.820552925}