0=x^2-3x-270

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Solution for 0=x^2-3x-270 equation: 


Simplifying
0 = x2 + -3x + -270

Reorder the terms:
0 = -270 + -3x + x2

Solving
0 = -270 + -3x + x2

Solving for variable 'x'.

Combine like terms: 0 + 270 = 270
270 + 3x + -1x2 = -270 + -3x + x2 + 270 + 3x + -1x2

Reorder the terms:
270 + 3x + -1x2 = -270 + 270 + -3x + 3x + x2 + -1x2

Combine like terms: -270 + 270 = 0
270 + 3x + -1x2 = 0 + -3x + 3x + x2 + -1x2
270 + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
270 + 3x + -1x2 = 0 + x2 + -1x2
270 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
270 + 3x + -1x2 = 0

Factor a trinomial.
(18 + -1x)(15 + x) = 0


Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Solution
x = {18, -15}

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