.06x^2+1.1x-200=

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Solution for .06x^2+1.1x-200= equation: 


Simplifying
0.06x2 + 1.1x + -200 = 0

Reorder the terms:
-200 + 1.1x + 0.06x2 = 0

Solving
-200 + 1.1x + 0.06x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.06'.
-3333.333333 + 18.33333333x + x2 = 0

Move the constant term to the right:

Add '3333.333333' to each side of the equation.
-3333.333333 + 18.33333333x + 3333.333333 + x2 = 0 + 3333.333333

Reorder the terms:
-3333.333333 + 3333.333333 + 18.33333333x + x2 = 0 + 3333.333333

Combine like terms: -3333.333333 + 3333.333333 = 0.000000
0.000000 + 18.33333333x + x2 = 0 + 3333.333333
18.33333333x + x2 = 0 + 3333.333333

Combine like terms: 0 + 3333.333333 = 3333.333333
18.33333333x + x2 = 3333.333333

The x term is 18.33333333x.  Take half its coefficient (9.166666665).
Square it (84.02777775) and add it to both sides.

Add '84.02777775' to each side of the equation.
18.33333333x + 84.02777775 + x2 = 3333.333333 + 84.02777775

Reorder the terms:
84.02777775 + 18.33333333x + x2 = 3333.333333 + 84.02777775

Combine like terms: 3333.333333 + 84.02777775 = 3417.36111075
84.02777775 + 18.33333333x + x2 = 3417.36111075

Factor a perfect square on the left side:
(x + 9.166666665)(x + 9.166666665) = 3417.36111075

Calculate the square root of the right side: 58.458199688

Break this problem into two subproblems by setting 
(x + 9.166666665) equal to 58.458199688 and -58.458199688.


Subproblem 1
x + 9.166666665 = 58.458199688

Simplifying
x + 9.166666665 = 58.458199688

Reorder the terms:
9.166666665 + x = 58.458199688

Solving
9.166666665 + x = 58.458199688

Solving for variable 'x'.

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

Add '-9.166666665' to each side of the equation.
9.166666665 + -9.166666665 + x = 58.458199688 + -9.166666665

Combine like terms: 9.166666665 + -9.166666665 = 0.000000000
0.000000000 + x = 58.458199688 + -9.166666665
x = 58.458199688 + -9.166666665

Combine like terms: 58.458199688 + -9.166666665 = 49.291533023
x = 49.291533023

Simplifying
x = 49.291533023


Subproblem 2
x + 9.166666665 = -58.458199688

Simplifying
x + 9.166666665 = -58.458199688

Reorder the terms:
9.166666665 + x = -58.458199688

Solving
9.166666665 + x = -58.458199688

Solving for variable 'x'.

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

Add '-9.166666665' to each side of the equation.
9.166666665 + -9.166666665 + x = -58.458199688 + -9.166666665

Combine like terms: 9.166666665 + -9.166666665 = 0.000000000
0.000000000 + x = -58.458199688 + -9.166666665
x = -58.458199688 + -9.166666665

Combine like terms: -58.458199688 + -9.166666665 = -67.624866353
x = -67.624866353

Simplifying
x = -67.624866353


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {49.291533023, -67.624866353}

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