2x^2+8x=1144

Solution for 2x^2+8x=1144 equation:

Simplifying
2x2 + 8x = 1144

Reorder the terms:
8x + 2x2 = 1144

Solving
8x + 2x2 = 1144

Solving for variable 'x'.

Reorder the terms:
-1144 + 8x + 2x2 = 1144 + -1144

Combine like terms: 1144 + -1144 = 0
-1144 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-572 + 4x + x2) = 0

Factor a trinomial.
2((-26 + -1x)(22 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {-26, 22}