0=2x^2+x-300

Solution for 0=2x^2+x-300 equation:

Simplifying
0 = 2x2 + x + -300

Reorder the terms:
0 = -300 + x + 2x2

Solving
0 = -300 + x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 300 = 300
300 + -1x + -2x2 = -300 + x + 2x2 + 300 + -1x + -2x2

Reorder the terms:
300 + -1x + -2x2 = -300 + 300 + x + -1x + 2x2 + -2x2

Combine like terms: -300 + 300 = 0
300 + -1x + -2x2 = 0 + x + -1x + 2x2 + -2x2
300 + -1x + -2x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
300 + -1x + -2x2 = 0 + 2x2 + -2x2
300 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
300 + -1x + -2x2 = 0

Factor a trinomial.
(12 + -1x)(25 + 2x) = 0

Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Subproblem 2
Set the factor '(25 + 2x)' equal to zero and attempt to solve:

Simplifying
25 + 2x = 0

Solving
25 + 2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + 2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = 0 + -25
2x = 0 + -25

Combine like terms: 0 + -25 = -25
2x = -25

Divide each side by '2'.
x = -12.5

Simplifying
x = -12.5
Solution
x = {12, -12.5}