18=(X+1)(X+4)

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Solution for 18=(X+1)(X+4) equation: 


Simplifying
18 = (X + 1)(X + 4)

Reorder the terms:
18 = (1 + X)(X + 4)

Reorder the terms:
18 = (1 + X)(4 + X)

Multiply (1 + X) * (4 + X)
18 = (1(4 + X) + X(4 + X))
18 = ((4 * 1 + X * 1) + X(4 + X))
18 = ((4 + 1X) + X(4 + X))
18 = (4 + 1X + (4 * X + X * X))
18 = (4 + 1X + (4X + X2))

Combine like terms: 1X + 4X = 5X
18 = (4 + 5X + X2)

Solving
18 = 4 + 5X + X2

Solving for variable 'X'.

Combine like terms: 18 + -4 = 14
14 + -5X + -1X2 = 4 + 5X + X2 + -4 + -5X + -1X2

Reorder the terms:
14 + -5X + -1X2 = 4 + -4 + 5X + -5X + X2 + -1X2

Combine like terms: 4 + -4 = 0
14 + -5X + -1X2 = 0 + 5X + -5X + X2 + -1X2
14 + -5X + -1X2 = 5X + -5X + X2 + -1X2

Combine like terms: 5X + -5X = 0
14 + -5X + -1X2 = 0 + X2 + -1X2
14 + -5X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
14 + -5X + -1X2 = 0

Factor a trinomial.
(2 + -1X)(7 + X) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + X)' equal to zero and attempt to solve:

Simplifying
7 + X = 0

Solving
7 + X = 0

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

Add '-7' to each side of the equation.
7 + -7 + X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + X = 0 + -7
X = 0 + -7

Combine like terms: 0 + -7 = -7
X = -7

Simplifying
X = -7
Solution
X = {2, -7}

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