(x+2)(x+4)=48

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Solution for (x+2)(x+4)=48 equation: 


Simplifying
(x + 2)(x + 4) = 48

Reorder the terms:
(2 + x)(x + 4) = 48

Reorder the terms:
(2 + x)(4 + x) = 48

Multiply (2 + x) * (4 + x)
(2(4 + x) + x(4 + x)) = 48
((4 * 2 + x * 2) + x(4 + x)) = 48
((8 + 2x) + x(4 + x)) = 48
(8 + 2x + (4 * x + x * x)) = 48
(8 + 2x + (4x + x2)) = 48

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2) = 48

Solving
8 + 6x + x2 = 48

Solving for variable 'x'.

Reorder the terms:
8 + -48 + 6x + x2 = 48 + -48

Combine like terms: 8 + -48 = -40
-40 + 6x + x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-40 + 6x + x2 = 0

Factor a trinomial.
(-10 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-10, 4}

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