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((-22 + -1x)(26 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
x = {-22, 26}