2x^2-5x-3000=0

Solution for 2x^2-5x-3000=0 equation:

Simplifying
2x2 + -5x + -3000 = 0

Reorder the terms:
-3000 + -5x + 2x2 = 0

Solving
-3000 + -5x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-75 + -2x)(40 + -1x) = 0

Subproblem 1
Set the factor '(-75 + -2x)' equal to zero and attempt to solve:

Simplifying
-75 + -2x = 0

Solving
-75 + -2x = 0

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

Add '75' to each side of the equation.
-75 + 75 + -2x = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -2x = 0 + 75
-2x = 0 + 75

Combine like terms: 0 + 75 = 75
-2x = 75

Divide each side by '-2'.
x = -37.5

Simplifying
x = -37.5
Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve:

Simplifying
40 + -1x = 0

Solving
40 + -1x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 0 + -40
-1x = 0 + -40

Combine like terms: 0 + -40 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40
Solution
x = {-37.5, 40}