0=5x^2+20x-300

Solution for 0=5x^2+20x-300 equation:

Simplifying
0 = 5x2 + 20x + -300

Reorder the terms:
0 = -300 + 20x + 5x2

Solving
0 = -300 + 20x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + 300 = 300
300 + -20x + -5x2 = -300 + 20x + 5x2 + 300 + -20x + -5x2

Reorder the terms:
300 + -20x + -5x2 = -300 + 300 + 20x + -20x + 5x2 + -5x2

Combine like terms: -300 + 300 = 0
300 + -20x + -5x2 = 0 + 20x + -20x + 5x2 + -5x2
300 + -20x + -5x2 = 20x + -20x + 5x2 + -5x2

Combine like terms: 20x + -20x = 0
300 + -20x + -5x2 = 0 + 5x2 + -5x2
300 + -20x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
300 + -20x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(60 + -4x + -1x2) = 0

Factor a trinomial.
5((6 + -1x)(10 + x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {6, -10}