2x^2+140x-24000=0

Solution for 2x^2+140x-24000=0 equation:

Simplifying
2x2 + 140x + -24000 = 0

Reorder the terms:
-24000 + 140x + 2x2 = 0

Solving
-24000 + 140x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12000 + 70x + x2) = 0

Factor a trinomial.
2((-150 + -1x)(80 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-150 + -1x)' equal to zero and attempt to solve:

Simplifying
-150 + -1x = 0

Solving
-150 + -1x = 0

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

Add '150' to each side of the equation.
-150 + 150 + -1x = 0 + 150

Combine like terms: -150 + 150 = 0
0 + -1x = 0 + 150
-1x = 0 + 150

Combine like terms: 0 + 150 = 150
-1x = 150

Divide each side by '-1'.
x = -150

Simplifying
x = -150
Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve:

Simplifying
80 + -1x = 0

Solving
80 + -1x = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 0 + -80
-1x = 0 + -80

Combine like terms: 0 + -80 = -80
-1x = -80

Divide each side by '-1'.
x = 80

Simplifying
x = 80
Solution
x = {-150, 80}