(x+2)(x+4)=624

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Solution for (x+2)(x+4)=624 equation: 


Simplifying
(x + 2)(x + 4) = 624

Reorder the terms:
(2 + x)(x + 4) = 624

Reorder the terms:
(2 + x)(4 + x) = 624

Multiply (2 + x) * (4 + x)
(2(4 + x) + x(4 + x)) = 624
((4 * 2 + x * 2) + x(4 + x)) = 624
((8 + 2x) + x(4 + x)) = 624
(8 + 2x + (4 * x + x * x)) = 624
(8 + 2x + (4x + x2)) = 624

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2) = 624

Solving
8 + 6x + x2 = 624

Solving for variable 'x'.

Reorder the terms:
8 + -624 + 6x + x2 = 624 + -624

Combine like terms: 8 + -624 = -616
-616 + 6x + x2 = 624 + -624

Combine like terms: 624 + -624 = 0
-616 + 6x + x2 = 0

Factor a trinomial.
(-28 + -1x)(22 + -1x) = 0


Subproblem 1
Set the factor '(-28 + -1x)' equal to zero and attempt to solve:

Simplifying
-28 + -1x = 0

Solving
-28 + -1x = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = 0 + 28
-1x = 0 + 28

Combine like terms: 0 + 28 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28

Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {-28, 22}

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