A^2-8A-50=0

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Solution for A^2-8A-50=0 equation: 


Simplifying
A2 + -8A + -50 = 0

Reorder the terms:
-50 + -8A + A2 = 0

Solving
-50 + -8A + A2 = 0

Solving for variable 'A'.

Begin completing the square.

Move the constant term to the right:

Add '50' to each side of the equation.
-50 + -8A + 50 + A2 = 0 + 50

Reorder the terms:
-50 + 50 + -8A + A2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -8A + A2 = 0 + 50
-8A + A2 = 0 + 50

Combine like terms: 0 + 50 = 50
-8A + A2 = 50

The A term is -8A.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8A + 16 + A2 = 50 + 16

Reorder the terms:
16 + -8A + A2 = 50 + 16

Combine like terms: 50 + 16 = 66
16 + -8A + A2 = 66

Factor a perfect square on the left side:
(A + -4)(A + -4) = 66

Calculate the square root of the right side: 8.124038405

Break this problem into two subproblems by setting 
(A + -4) equal to 8.124038405 and -8.124038405.


Subproblem 1
A + -4 = 8.124038405

Simplifying
A + -4 = 8.124038405

Reorder the terms:
-4 + A = 8.124038405

Solving
-4 + A = 8.124038405

Solving for variable 'A'.

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

Add '4' to each side of the equation.
-4 + 4 + A = 8.124038405 + 4

Combine like terms: -4 + 4 = 0
0 + A = 8.124038405 + 4
A = 8.124038405 + 4

Combine like terms: 8.124038405 + 4 = 12.124038405
A = 12.124038405

Simplifying
A = 12.124038405


Subproblem 2
A + -4 = -8.124038405

Simplifying
A + -4 = -8.124038405

Reorder the terms:
-4 + A = -8.124038405

Solving
-4 + A = -8.124038405

Solving for variable 'A'.

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

Add '4' to each side of the equation.
-4 + 4 + A = -8.124038405 + 4

Combine like terms: -4 + 4 = 0
0 + A = -8.124038405 + 4
A = -8.124038405 + 4

Combine like terms: -8.124038405 + 4 = -4.124038405
A = -4.124038405

Simplifying
A = -4.124038405


Solution
The solution to the problem is based on the solutions
from the subproblems.
A = {12.124038405, -4.124038405}

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