x^2-8.04x+14.08=0

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Solution for x^2-8.04x+14.08=0 equation: 


Simplifying
x2 + -8.04x + 14.08 = 0

Reorder the terms:
14.08 + -8.04x + x2 = 0

Solving
14.08 + -8.04x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-14.08' to each side of the equation.
14.08 + -8.04x + -14.08 + x2 = 0 + -14.08

Reorder the terms:
14.08 + -14.08 + -8.04x + x2 = 0 + -14.08

Combine like terms: 14.08 + -14.08 = 0.00
0.00 + -8.04x + x2 = 0 + -14.08
-8.04x + x2 = 0 + -14.08

Combine like terms: 0 + -14.08 = -14.08
-8.04x + x2 = -14.08

The x term is -8.04x.  Take half its coefficient (-4.02).
Square it (16.1604) and add it to both sides.

Add '16.1604' to each side of the equation.
-8.04x + 16.1604 + x2 = -14.08 + 16.1604

Reorder the terms:
16.1604 + -8.04x + x2 = -14.08 + 16.1604

Combine like terms: -14.08 + 16.1604 = 2.0804
16.1604 + -8.04x + x2 = 2.0804

Factor a perfect square on the left side:
(x + -4.02)(x + -4.02) = 2.0804

Calculate the square root of the right side: 1.442359179

Break this problem into two subproblems by setting 
(x + -4.02) equal to 1.442359179 and -1.442359179.


Subproblem 1
x + -4.02 = 1.442359179

Simplifying
x + -4.02 = 1.442359179

Reorder the terms:
-4.02 + x = 1.442359179

Solving
-4.02 + x = 1.442359179

Solving for variable 'x'.

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

Add '4.02' to each side of the equation.
-4.02 + 4.02 + x = 1.442359179 + 4.02

Combine like terms: -4.02 + 4.02 = 0.00
0.00 + x = 1.442359179 + 4.02
x = 1.442359179 + 4.02

Combine like terms: 1.442359179 + 4.02 = 5.462359179
x = 5.462359179

Simplifying
x = 5.462359179


Subproblem 2
x + -4.02 = -1.442359179

Simplifying
x + -4.02 = -1.442359179

Reorder the terms:
-4.02 + x = -1.442359179

Solving
-4.02 + x = -1.442359179

Solving for variable 'x'.

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

Add '4.02' to each side of the equation.
-4.02 + 4.02 + x = -1.442359179 + 4.02

Combine like terms: -4.02 + 4.02 = 0.00
0.00 + x = -1.442359179 + 4.02
x = -1.442359179 + 4.02

Combine like terms: -1.442359179 + 4.02 = 2.577640821
x = 2.577640821

Simplifying
x = 2.577640821


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.462359179, 2.577640821}

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