x(x-20)=1500

Solution for x(x-20)=1500 equation:

Simplifying
x(x + -20) = 1500

Reorder the terms:
x(-20 + x) = 1500
(-20 * x + x * x) = 1500
(-20x + x2) = 1500

Solving
-20x + x2 = 1500

Solving for variable 'x'.

Reorder the terms:
-1500 + -20x + x2 = 1500 + -1500

Combine like terms: 1500 + -1500 = 0
-1500 + -20x + x2 = 0

Factor a trinomial.
(-30 + -1x)(50 + -1x) = 0

Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30
Subproblem 2
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
Solution
x = {-30, 50}