X(X+10)=3(8)

Solution for X(X+10)=3(8) equation:

Simplifying
X(X + 10) = 3(8)

Reorder the terms:
X(10 + X) = 3(8)
(10 * X + X * X) = 3(8)
(10X + X2) = 3(8)

Multiply 3 * 8
10X + X2 = 24

Solving
10X + X2 = 24

Solving for variable 'X'.

Reorder the terms:
-24 + 10X + X2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 10X + X2 = 0

Factor a trinomial.
(-12 + -1X)(2 + -1X) = 0

Subproblem 1
Set the factor '(-12 + -1X)' equal to zero and attempt to solve:

Simplifying
-12 + -1X = 0

Solving
-12 + -1X = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1X = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1X = 0 + 12
-1X = 0 + 12

Combine like terms: 0 + 12 = 12
-1X = 12

Divide each side by '-1'.
X = -12

Simplifying
X = -12
Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {-12, 2}