0.00003q^2-.12q+36=0

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Solution for 0.00003q^2-.12q+36=0 equation: 


Simplifying
0.00003q2 + -0.12q + 36 = 0

Reorder the terms:
36 + -0.12q + 0.00003q2 = 0

Solving
36 + -0.12q + 0.00003q2 = 0

Solving for variable 'q'.

Begin completing the square.  Divide all terms by
0.00003 the coefficient of the squared term: 

Divide each side by '0.00003'.
1200000 + -4000q + q2 = 0

Move the constant term to the right:

Add '-1200000' to each side of the equation.
1200000 + -4000q + -1200000 + q2 = 0 + -1200000

Reorder the terms:
1200000 + -1200000 + -4000q + q2 = 0 + -1200000

Combine like terms: 1200000 + -1200000 = 0
0 + -4000q + q2 = 0 + -1200000
-4000q + q2 = 0 + -1200000

Combine like terms: 0 + -1200000 = -1200000
-4000q + q2 = -1200000

The q term is -4000q.  Take half its coefficient (-2000).
Square it (4000000) and add it to both sides.

Add '4000000' to each side of the equation.
-4000q + 4000000 + q2 = -1200000 + 4000000

Reorder the terms:
4000000 + -4000q + q2 = -1200000 + 4000000

Combine like terms: -1200000 + 4000000 = 2800000
4000000 + -4000q + q2 = 2800000

Factor a perfect square on the left side:
(q + -2000)(q + -2000) = 2800000

Calculate the square root of the right side: 1673.320053068

Break this problem into two subproblems by setting 
(q + -2000) equal to 1673.320053068 and -1673.320053068.


Subproblem 1
q + -2000 = 1673.320053068

Simplifying
q + -2000 = 1673.320053068

Reorder the terms:
-2000 + q = 1673.320053068

Solving
-2000 + q = 1673.320053068

Solving for variable 'q'.

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

Add '2000' to each side of the equation.
-2000 + 2000 + q = 1673.320053068 + 2000

Combine like terms: -2000 + 2000 = 0
0 + q = 1673.320053068 + 2000
q = 1673.320053068 + 2000

Combine like terms: 1673.320053068 + 2000 = 3673.320053068
q = 3673.320053068

Simplifying
q = 3673.320053068


Subproblem 2
q + -2000 = -1673.320053068

Simplifying
q + -2000 = -1673.320053068

Reorder the terms:
-2000 + q = -1673.320053068

Solving
-2000 + q = -1673.320053068

Solving for variable 'q'.

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

Add '2000' to each side of the equation.
-2000 + 2000 + q = -1673.320053068 + 2000

Combine like terms: -2000 + 2000 = 0
0 + q = -1673.320053068 + 2000
q = -1673.320053068 + 2000

Combine like terms: -1673.320053068 + 2000 = 326.679946932
q = 326.679946932

Simplifying
q = 326.679946932


Solution
The solution to the problem is based on the solutions
from the subproblems.
q = {3673.320053068, 326.679946932}

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