x(x-9)=190

Solution for x(x-9)=190 equation:

Simplifying
x(x + -9) = 190

Reorder the terms:
x(-9 + x) = 190
(-9 * x + x * x) = 190
(-9x + x2) = 190

Solving
-9x + x2 = 190

Solving for variable 'x'.

Reorder the terms:
-190 + -9x + x2 = 190 + -190

Combine like terms: 190 + -190 = 0
-190 + -9x + x2 = 0

Factor a trinomial.
(-10 + -1x)(19 + -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 '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {-10, 19}