0=5x^2-15x-270

Solution for 0=5x^2-15x-270 equation:

Simplifying
0 = 5x2 + -15x + -270

Reorder the terms:
0 = -270 + -15x + 5x2

Solving
0 = -270 + -15x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + 270 = 270
270 + 15x + -5x2 = -270 + -15x + 5x2 + 270 + 15x + -5x2

Reorder the terms:
270 + 15x + -5x2 = -270 + 270 + -15x + 15x + 5x2 + -5x2

Combine like terms: -270 + 270 = 0
270 + 15x + -5x2 = 0 + -15x + 15x + 5x2 + -5x2
270 + 15x + -5x2 = -15x + 15x + 5x2 + -5x2

Combine like terms: -15x + 15x = 0
270 + 15x + -5x2 = 0 + 5x2 + -5x2
270 + 15x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
270 + 15x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(54 + 3x + -1x2) = 0

Factor a trinomial.
5((9 + -1x)(6 + x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
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 = {9, -6}