x^2-.33x-7.7=

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Solution for x^2-.33x-7.7= equation: 


Simplifying
x2 + -0.33x + -7.7 = 0

Reorder the terms:
-7.7 + -0.33x + x2 = 0

Solving
-7.7 + -0.33x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '7.7' to each side of the equation.
-7.7 + -0.33x + 7.7 + x2 = 0 + 7.7

Reorder the terms:
-7.7 + 7.7 + -0.33x + x2 = 0 + 7.7

Combine like terms: -7.7 + 7.7 = 0.0
0.0 + -0.33x + x2 = 0 + 7.7
-0.33x + x2 = 0 + 7.7

Combine like terms: 0 + 7.7 = 7.7
-0.33x + x2 = 7.7

The x term is -0.33x.  Take half its coefficient (-0.165).
Square it (0.027225) and add it to both sides.

Add '0.027225' to each side of the equation.
-0.33x + 0.027225 + x2 = 7.7 + 0.027225

Reorder the terms:
0.027225 + -0.33x + x2 = 7.7 + 0.027225

Combine like terms: 7.7 + 0.027225 = 7.727225
0.027225 + -0.33x + x2 = 7.727225

Factor a perfect square on the left side:
(x + -0.165)(x + -0.165) = 7.727225

Calculate the square root of the right side: 2.779788661

Break this problem into two subproblems by setting 
(x + -0.165) equal to 2.779788661 and -2.779788661.


Subproblem 1
x + -0.165 = 2.779788661

Simplifying
x + -0.165 = 2.779788661

Reorder the terms:
-0.165 + x = 2.779788661

Solving
-0.165 + x = 2.779788661

Solving for variable 'x'.

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

Add '0.165' to each side of the equation.
-0.165 + 0.165 + x = 2.779788661 + 0.165

Combine like terms: -0.165 + 0.165 = 0.000
0.000 + x = 2.779788661 + 0.165
x = 2.779788661 + 0.165

Combine like terms: 2.779788661 + 0.165 = 2.944788661
x = 2.944788661

Simplifying
x = 2.944788661


Subproblem 2
x + -0.165 = -2.779788661

Simplifying
x + -0.165 = -2.779788661

Reorder the terms:
-0.165 + x = -2.779788661

Solving
-0.165 + x = -2.779788661

Solving for variable 'x'.

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

Add '0.165' to each side of the equation.
-0.165 + 0.165 + x = -2.779788661 + 0.165

Combine like terms: -0.165 + 0.165 = 0.000
0.000 + x = -2.779788661 + 0.165
x = -2.779788661 + 0.165

Combine like terms: -2.779788661 + 0.165 = -2.614788661
x = -2.614788661

Simplifying
x = -2.614788661


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.944788661, -2.614788661}

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