.0795x^2-.888x+1.821=0

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Solution for .0795x^2-.888x+1.821=0 equation:


Simplifying
0.0795x2 + -0.888x + 1.821 = 0

Reorder the terms:
1.821 + -0.888x + 0.0795x2 = 0

Solving
1.821 + -0.888x + 0.0795x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.0795 the coefficient of the squared term: 

Divide each side by '0.0795'.
22.90566038 + -11.16981132x + x2 = 0

Move the constant term to the right:

Add '-22.90566038' to each side of the equation.
22.90566038 + -11.16981132x + -22.90566038 + x2 = 0 + -22.90566038

Reorder the terms:
22.90566038 + -22.90566038 + -11.16981132x + x2 = 0 + -22.90566038

Combine like terms: 22.90566038 + -22.90566038 = 0.00000000
0.00000000 + -11.16981132x + x2 = 0 + -22.90566038
-11.16981132x + x2 = 0 + -22.90566038

Combine like terms: 0 + -22.90566038 = -22.90566038
-11.16981132x + x2 = -22.90566038

The x term is -11.16981132x.  Take half its coefficient (-5.58490566).
Square it (31.19117123) and add it to both sides.

Add '31.19117123' to each side of the equation.
-11.16981132x + 31.19117123 + x2 = -22.90566038 + 31.19117123

Reorder the terms:
31.19117123 + -11.16981132x + x2 = -22.90566038 + 31.19117123

Combine like terms: -22.90566038 + 31.19117123 = 8.28551085
31.19117123 + -11.16981132x + x2 = 8.28551085

Factor a perfect square on the left side:
(x + -5.58490566)(x + -5.58490566) = 8.28551085

Calculate the square root of the right side: 2.878456331

Break this problem into two subproblems by setting 
(x + -5.58490566) equal to 2.878456331 and -2.878456331.

Subproblem 1

x + -5.58490566 = 2.878456331 Simplifying x + -5.58490566 = 2.878456331 Reorder the terms: -5.58490566 + x = 2.878456331 Solving -5.58490566 + x = 2.878456331 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.58490566' to each side of the equation. -5.58490566 + 5.58490566 + x = 2.878456331 + 5.58490566 Combine like terms: -5.58490566 + 5.58490566 = 0.00000000 0.00000000 + x = 2.878456331 + 5.58490566 x = 2.878456331 + 5.58490566 Combine like terms: 2.878456331 + 5.58490566 = 8.463361991 x = 8.463361991 Simplifying x = 8.463361991

Subproblem 2

x + -5.58490566 = -2.878456331 Simplifying x + -5.58490566 = -2.878456331 Reorder the terms: -5.58490566 + x = -2.878456331 Solving -5.58490566 + x = -2.878456331 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.58490566' to each side of the equation. -5.58490566 + 5.58490566 + x = -2.878456331 + 5.58490566 Combine like terms: -5.58490566 + 5.58490566 = 0.00000000 0.00000000 + x = -2.878456331 + 5.58490566 x = -2.878456331 + 5.58490566 Combine like terms: -2.878456331 + 5.58490566 = 2.706449329 x = 2.706449329 Simplifying x = 2.706449329

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.463361991, 2.706449329}

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