0=5x^2+20x-60

Solution for 0=5x^2+20x-60 equation:

Simplifying
0 = 5x2 + 20x + -60

Reorder the terms:
0 = -60 + 20x + 5x2

Solving
0 = -60 + 20x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + 60 = 60
60 + -20x + -5x2 = -60 + 20x + 5x2 + 60 + -20x + -5x2

Reorder the terms:
60 + -20x + -5x2 = -60 + 60 + 20x + -20x + 5x2 + -5x2

Combine like terms: -60 + 60 = 0
60 + -20x + -5x2 = 0 + 20x + -20x + 5x2 + -5x2
60 + -20x + -5x2 = 20x + -20x + 5x2 + -5x2

Combine like terms: 20x + -20x = 0
60 + -20x + -5x2 = 0 + 5x2 + -5x2
60 + -20x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
60 + -20x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(12 + -4x + -1x2) = 0

Factor a trinomial.
5((2 + -1x)(6 + x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

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

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6
Solution
x = {2, -6}