2x^2+18x-1448=0

Solution for 2x^2+18x-1448=0 equation:

Simplifying
2x2 + 18x + -1448 = 0

Reorder the terms:
-1448 + 18x + 2x2 = 0

Solving
-1448 + 18x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-724 + 9x + x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-724 + 9x + x2)' equal to zero and attempt to solve:

Simplifying
-724 + 9x + x2 = 0

Solving
-724 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '724' to each side of the equation.
-724 + 9x + 724 + x2 = 0 + 724

Reorder the terms:
-724 + 724 + 9x + x2 = 0 + 724

Combine like terms: -724 + 724 = 0
0 + 9x + x2 = 0 + 724
9x + x2 = 0 + 724

Combine like terms: 0 + 724 = 724
9x + x2 = 724

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = 724 + 20.25

Reorder the terms:
20.25 + 9x + x2 = 724 + 20.25

Combine like terms: 724 + 20.25 = 744.25
20.25 + 9x + x2 = 744.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 744.25

Calculate the square root of the right side: 27.280945731

Break this problem into two subproblems by setting 
(x + 4.5) equal to 27.280945731 and -27.280945731.

Subproblem 1
x + 4.5 = 27.280945731

Simplifying
x + 4.5 = 27.280945731

Reorder the terms:
4.5 + x = 27.280945731

Solving
4.5 + x = 27.280945731

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = 27.280945731 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 27.280945731 + -4.5
x = 27.280945731 + -4.5

Combine like terms: 27.280945731 + -4.5 = 22.780945731
x = 22.780945731

Simplifying
x = 22.780945731

Subproblem 2
x + 4.5 = -27.280945731

Simplifying
x + 4.5 = -27.280945731

Reorder the terms:
4.5 + x = -27.280945731

Solving
4.5 + x = -27.280945731

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = -27.280945731 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -27.280945731 + -4.5
x = -27.280945731 + -4.5

Combine like terms: -27.280945731 + -4.5 = -31.780945731
x = -31.780945731

Simplifying
x = -31.780945731

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {22.780945731, -31.780945731}
Solution
x = {22.780945731, -31.780945731}