60=(4X)(X+2)

Solution for 60=(4X)(X+2) equation:

Simplifying
60 = (4X)(X + 2)

Remove parenthesis around (4X)
60 = 4X(X + 2)

Reorder the terms:
60 = 4X(2 + X)
60 = (2 * 4X + X * 4X)
60 = (8X + 4X2)

Solving
60 = 8X + 4X2

Solving for variable 'X'.

Reorder the terms:
60 + -8X + -4X2 = 8X + -8X + 4X2 + -4X2

Combine like terms: 8X + -8X = 0
60 + -8X + -4X2 = 0 + 4X2 + -4X2
60 + -8X + -4X2 = 4X2 + -4X2

Combine like terms: 4X2 + -4X2 = 0
60 + -8X + -4X2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -2X + -1X2) = 0

Factor a trinomial.
4((3 + -1X)(5 + X)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + X)' equal to zero and attempt to solve:

Simplifying
5 + X = 0

Solving
5 + X = 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 + X = 0 + -5

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

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

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