x(x-5)=150

Solution for x(x-5)=150 equation:

Simplifying
x(x + -5) = 150

Reorder the terms:
x(-5 + x) = 150
(-5 * x + x * x) = 150
(-5x + x2) = 150

Solving
-5x + x2 = 150

Solving for variable 'x'.

Reorder the terms:
-150 + -5x + x2 = 150 + -150

Combine like terms: 150 + -150 = 0
-150 + -5x + x2 = 0

Factor a trinomial.
(-10 + -1x)(15 + -1x) = 0

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10
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 = {-10, 15}