(x-10)*x=3000

Solution for (x-10)*x=3000 equation:

Simplifying
(x + -10) * x = 3000

Reorder the terms:
(-10 + x) * x = 3000

Reorder the terms for easier multiplication:
x(-10 + x) = 3000
(-10 * x + x * x) = 3000
(-10x + x2) = 3000

Solving
-10x + x2 = 3000

Solving for variable 'x'.

Reorder the terms:
-3000 + -10x + x2 = 3000 + -3000

Combine like terms: 3000 + -3000 = 0
-3000 + -10x + x2 = 0

Factor a trinomial.
(-50 + -1x)(60 + -1x) = 0

Subproblem 1
Set the factor '(-50 + -1x)' equal to zero and attempt to solve:

Simplifying
-50 + -1x = 0

Solving
-50 + -1x = 0

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

Add '50' to each side of the equation.
-50 + 50 + -1x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1x = 0 + 50
-1x = 0 + 50

Combine like terms: 0 + 50 = 50
-1x = 50

Divide each side by '-1'.
x = -50

Simplifying
x = -50
Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve:

Simplifying
60 + -1x = 0

Solving
60 + -1x = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1x = 0 + -60
-1x = 0 + -60

Combine like terms: 0 + -60 = -60
-1x = -60

Divide each side by '-1'.
x = 60

Simplifying
x = 60
Solution
x = {-50, 60}