x*(x-6)=1360

Solution for x*(x-6)=1360 equation:

Simplifying
x(x + -6) = 1360

Reorder the terms:
x(-6 + x) = 1360
(-6 * x + x * x) = 1360
(-6x + x2) = 1360

Solving
-6x + x2 = 1360

Solving for variable 'x'.

Reorder the terms:
-1360 + -6x + x2 = 1360 + -1360

Combine like terms: 1360 + -1360 = 0
-1360 + -6x + x2 = 0

Factor a trinomial.
(-34 + -1x)(40 + -1x) = 0

Subproblem 1
Set the factor '(-34 + -1x)' equal to zero and attempt to solve:

Simplifying
-34 + -1x = 0

Solving
-34 + -1x = 0

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

Add '34' to each side of the equation.
-34 + 34 + -1x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -1x = 0 + 34
-1x = 0 + 34

Combine like terms: 0 + 34 = 34
-1x = 34

Divide each side by '-1'.
x = -34

Simplifying
x = -34
Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve:

Simplifying
40 + -1x = 0

Solving
40 + -1x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 0 + -40
-1x = 0 + -40

Combine like terms: 0 + -40 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40
Solution
x = {-34, 40}