2X(X+2)=30

Solution for 2X(X+2)=30 equation:

Simplifying
2X(X + 2) = 30

Reorder the terms:
2X(2 + X) = 30
(2 * 2X + X * 2X) = 30
(4X + 2X2) = 30

Solving
4X + 2X2 = 30

Solving for variable 'X'.

Reorder the terms:
-30 + 4X + 2X2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 4X + 2X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 2X + X2) = 0

Factor a trinomial.
2((-5 + -1X)(3 + -1X)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1X)' equal to zero and attempt to solve:

Simplifying
-5 + -1X = 0

Solving
-5 + -1X = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1X = 0 + 5
-1X = 0 + 5

Combine like terms: 0 + 5 = 5
-1X = 5

Divide each side by '-1'.
X = -5

Simplifying
X = -5
Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve:

Simplifying
3 + -1X = 0

Solving
3 + -1X = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Solution
X = {-5, 3}