x^2-95x+7=0

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Solution for x^2-95x+7=0 equation: 


Simplifying
x2 + -95x + 7 = 0

Reorder the terms:
7 + -95x + x2 = 0

Solving
7 + -95x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -95x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -95x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -95x + x2 = 0 + -7
-95x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-95x + x2 = -7

The x term is -95x.  Take half its coefficient (-47.5).
Square it (2256.25) and add it to both sides.

Add '2256.25' to each side of the equation.
-95x + 2256.25 + x2 = -7 + 2256.25

Reorder the terms:
2256.25 + -95x + x2 = -7 + 2256.25

Combine like terms: -7 + 2256.25 = 2249.25
2256.25 + -95x + x2 = 2249.25

Factor a perfect square on the left side:
(x + -47.5)(x + -47.5) = 2249.25

Calculate the square root of the right side: 47.426258549

Break this problem into two subproblems by setting 
(x + -47.5) equal to 47.426258549 and -47.426258549.


Subproblem 1
x + -47.5 = 47.426258549

Simplifying
x + -47.5 = 47.426258549

Reorder the terms:
-47.5 + x = 47.426258549

Solving
-47.5 + x = 47.426258549

Solving for variable 'x'.

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

Add '47.5' to each side of the equation.
-47.5 + 47.5 + x = 47.426258549 + 47.5

Combine like terms: -47.5 + 47.5 = 0.0
0.0 + x = 47.426258549 + 47.5
x = 47.426258549 + 47.5

Combine like terms: 47.426258549 + 47.5 = 94.926258549
x = 94.926258549

Simplifying
x = 94.926258549


Subproblem 2
x + -47.5 = -47.426258549

Simplifying
x + -47.5 = -47.426258549

Reorder the terms:
-47.5 + x = -47.426258549

Solving
-47.5 + x = -47.426258549

Solving for variable 'x'.

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

Add '47.5' to each side of the equation.
-47.5 + 47.5 + x = -47.426258549 + 47.5

Combine like terms: -47.5 + 47.5 = 0.0
0.0 + x = -47.426258549 + 47.5
x = -47.426258549 + 47.5

Combine like terms: -47.426258549 + 47.5 = 0.073741451
x = 0.073741451

Simplifying
x = 0.073741451


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {94.926258549, 0.073741451}

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