X*(X-5)=176

Solution for X*(X-5)=176 equation:

Simplifying
X(X + -5) = 176

Reorder the terms:
X(-5 + X) = 176
(-5 * X + X * X) = 176
(-5X + X2) = 176

Solving
-5X + X2 = 176

Solving for variable 'X'.

Reorder the terms:
-176 + -5X + X2 = 176 + -176

Combine like terms: 176 + -176 = 0
-176 + -5X + X2 = 0

Factor a trinomial.
(-11 + -1X)(16 + -1X) = 0

Subproblem 1
Set the factor '(-11 + -1X)' equal to zero and attempt to solve:

Simplifying
-11 + -1X = 0

Solving
-11 + -1X = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1X = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1X = 0 + 11
-1X = 0 + 11

Combine like terms: 0 + 11 = 11
-1X = 11

Divide each side by '-1'.
X = -11

Simplifying
X = -11
Subproblem 2
Set the factor '(16 + -1X)' equal to zero and attempt to solve:

Simplifying
16 + -1X = 0

Solving
16 + -1X = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1X = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1X = 0 + -16
-1X = 0 + -16

Combine like terms: 0 + -16 = -16
-1X = -16

Divide each side by '-1'.
X = 16

Simplifying
X = 16
Solution
X = {-11, 16}