2x^2+8x-888=0

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Solution for 2x^2+8x-888=0 equation: 


Simplifying
2x2 + 8x + -888 = 0

Reorder the terms:
-888 + 8x + 2x2 = 0

Solving
-888 + 8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-444 + 4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-444 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
-444 + 4x + x2 = 0

Solving
-444 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '444' to each side of the equation.
-444 + 4x + 444 + x2 = 0 + 444

Reorder the terms:
-444 + 444 + 4x + x2 = 0 + 444

Combine like terms: -444 + 444 = 0
0 + 4x + x2 = 0 + 444
4x + x2 = 0 + 444

Combine like terms: 0 + 444 = 444
4x + x2 = 444

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 444 + 4

Reorder the terms:
4 + 4x + x2 = 444 + 4

Combine like terms: 444 + 4 = 448
4 + 4x + x2 = 448

Factor a perfect square on the left side:
(x + 2)(x + 2) = 448

Calculate the square root of the right side: 21.166010489

Break this problem into two subproblems by setting 
(x + 2) equal to 21.166010489 and -21.166010489.


Subproblem 1
x + 2 = 21.166010489

Simplifying
x + 2 = 21.166010489

Reorder the terms:
2 + x = 21.166010489

Solving
2 + x = 21.166010489

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 21.166010489 + -2

Combine like terms: 2 + -2 = 0
0 + x = 21.166010489 + -2
x = 21.166010489 + -2

Combine like terms: 21.166010489 + -2 = 19.166010489
x = 19.166010489

Simplifying
x = 19.166010489


Subproblem 2
x + 2 = -21.166010489

Simplifying
x + 2 = -21.166010489

Reorder the terms:
2 + x = -21.166010489

Solving
2 + x = -21.166010489

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -21.166010489 + -2

Combine like terms: 2 + -2 = 0
0 + x = -21.166010489 + -2
x = -21.166010489 + -2

Combine like terms: -21.166010489 + -2 = -23.166010489
x = -23.166010489

Simplifying
x = -23.166010489


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {19.166010489, -23.166010489}
Solution
x = {19.166010489, -23.166010489}

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