x(x-13)=30

Solution for x(x-13)=30 equation:

Simplifying
x(x + -13) = 30

Reorder the terms:
x(-13 + x) = 30
(-13 * x + x * x) = 30
(-13x + x2) = 30

Solving
-13x + x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + -13x + x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -13x + x2 = 0

Factor a trinomial.
(-2 + -1x)(15 + -1x) = 0

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 '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-2, 15}