.0001x^2+.06x-1.7=0

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Solution for .0001x^2+.06x-1.7=0 equation:


Simplifying
0.0001x2 + 0.06x + -1.7 = 0

Reorder the terms:
-1.7 + 0.06x + 0.0001x2 = 0

Solving
-1.7 + 0.06x + 0.0001x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.0001 the coefficient of the squared term: 

Divide each side by '0.0001'.
-17000 + 600x + x2 = 0

Move the constant term to the right:

Add '17000' to each side of the equation.
-17000 + 600x + 17000 + x2 = 0 + 17000

Reorder the terms:
-17000 + 17000 + 600x + x2 = 0 + 17000

Combine like terms: -17000 + 17000 = 0
0 + 600x + x2 = 0 + 17000
600x + x2 = 0 + 17000

Combine like terms: 0 + 17000 = 17000
600x + x2 = 17000

The x term is 600x.  Take half its coefficient (300).
Square it (90000) and add it to both sides.

Add '90000' to each side of the equation.
600x + 90000 + x2 = 17000 + 90000

Reorder the terms:
90000 + 600x + x2 = 17000 + 90000

Combine like terms: 17000 + 90000 = 107000
90000 + 600x + x2 = 107000

Factor a perfect square on the left side:
(x + 300)(x + 300) = 107000

Calculate the square root of the right side: 327.108544676

Break this problem into two subproblems by setting 
(x + 300) equal to 327.108544676 and -327.108544676.

Subproblem 1

x + 300 = 327.108544676 Simplifying x + 300 = 327.108544676 Reorder the terms: 300 + x = 327.108544676 Solving 300 + x = 327.108544676 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + x = 327.108544676 + -300 Combine like terms: 300 + -300 = 0 0 + x = 327.108544676 + -300 x = 327.108544676 + -300 Combine like terms: 327.108544676 + -300 = 27.108544676 x = 27.108544676 Simplifying x = 27.108544676

Subproblem 2

x + 300 = -327.108544676 Simplifying x + 300 = -327.108544676 Reorder the terms: 300 + x = -327.108544676 Solving 300 + x = -327.108544676 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + x = -327.108544676 + -300 Combine like terms: 300 + -300 = 0 0 + x = -327.108544676 + -300 x = -327.108544676 + -300 Combine like terms: -327.108544676 + -300 = -627.108544676 x = -627.108544676 Simplifying x = -627.108544676

Solution

The solution to the problem is based on the solutions from the subproblems. x = {27.108544676, -627.108544676}

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