3(X+2)(X+2)+16(X+2)+5=

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Solution for 3(X+2)(X+2)+16(X+2)+5= equation: 


Simplifying
3(X + 2)(X + 2) + 16(X + 2) + 5 = 0

Reorder the terms:
3(2 + X)(X + 2) + 16(X + 2) + 5 = 0

Reorder the terms:
3(2 + X)(2 + X) + 16(X + 2) + 5 = 0

Multiply (2 + X) * (2 + X)
3(2(2 + X) + X(2 + X)) + 16(X + 2) + 5 = 0
3((2 * 2 + X * 2) + X(2 + X)) + 16(X + 2) + 5 = 0
3((4 + 2X) + X(2 + X)) + 16(X + 2) + 5 = 0
3(4 + 2X + (2 * X + X * X)) + 16(X + 2) + 5 = 0
3(4 + 2X + (2X + X2)) + 16(X + 2) + 5 = 0

Combine like terms: 2X + 2X = 4X
3(4 + 4X + X2) + 16(X + 2) + 5 = 0
(4 * 3 + 4X * 3 + X2 * 3) + 16(X + 2) + 5 = 0
(12 + 12X + 3X2) + 16(X + 2) + 5 = 0

Reorder the terms:
12 + 12X + 3X2 + 16(2 + X) + 5 = 0
12 + 12X + 3X2 + (2 * 16 + X * 16) + 5 = 0
12 + 12X + 3X2 + (32 + 16X) + 5 = 0

Reorder the terms:
12 + 32 + 5 + 12X + 16X + 3X2 = 0

Combine like terms: 12 + 32 = 44
44 + 5 + 12X + 16X + 3X2 = 0

Combine like terms: 44 + 5 = 49
49 + 12X + 16X + 3X2 = 0

Combine like terms: 12X + 16X = 28X
49 + 28X + 3X2 = 0

Solving
49 + 28X + 3X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(7 + X)(7 + 3X) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + 3X)' equal to zero and attempt to solve:

Simplifying
7 + 3X = 0

Solving
7 + 3X = 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 + 3X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3X = 0 + -7
3X = 0 + -7

Combine like terms: 0 + -7 = -7
3X = -7

Divide each side by '3'.
X = -2.333333333

Simplifying
X = -2.333333333
Solution
X = {-7, -2.333333333}

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