(X+4)(2X+4)=448

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Solution for (X+4)(2X+4)=448 equation: 


Simplifying
(X + 4)(2X + 4) = 448

Reorder the terms:
(4 + X)(2X + 4) = 448

Reorder the terms:
(4 + X)(4 + 2X) = 448

Multiply (4 + X) * (4 + 2X)
(4(4 + 2X) + X(4 + 2X)) = 448
((4 * 4 + 2X * 4) + X(4 + 2X)) = 448
((16 + 8X) + X(4 + 2X)) = 448
(16 + 8X + (4 * X + 2X * X)) = 448
(16 + 8X + (4X + 2X2)) = 448

Combine like terms: 8X + 4X = 12X
(16 + 12X + 2X2) = 448

Solving
16 + 12X + 2X2 = 448

Solving for variable 'X'.

Reorder the terms:
16 + -448 + 12X + 2X2 = 448 + -448

Combine like terms: 16 + -448 = -432
-432 + 12X + 2X2 = 448 + -448

Combine like terms: 448 + -448 = 0
-432 + 12X + 2X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-216 + 6X + X2) = 0

Factor a trinomial.
2((-18 + -1X)(12 + -1X)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-18 + -1X)' equal to zero and attempt to solve:

Simplifying
-18 + -1X = 0

Solving
-18 + -1X = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1X = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1X = 0 + 18
-1X = 0 + 18

Combine like terms: 0 + 18 = 18
-1X = 18

Divide each side by '-1'.
X = -18

Simplifying
X = -18

Subproblem 2
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
Solution
X = {-18, 12}

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