(4x+22)(2x+8)=

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Solution for (4x+22)(2x+8)= equation: 


Simplifying
(4x + 22)(2x + 8) = 0

Reorder the terms:
(22 + 4x)(2x + 8) = 0

Reorder the terms:
(22 + 4x)(8 + 2x) = 0

Multiply (22 + 4x) * (8 + 2x)
(22(8 + 2x) + 4x * (8 + 2x)) = 0
((8 * 22 + 2x * 22) + 4x * (8 + 2x)) = 0
((176 + 44x) + 4x * (8 + 2x)) = 0
(176 + 44x + (8 * 4x + 2x * 4x)) = 0
(176 + 44x + (32x + 8x2)) = 0

Combine like terms: 44x + 32x = 76x
(176 + 76x + 8x2) = 0

Solving
176 + 76x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(44 + 19x + 2x2) = 0

Factor a trinomial.
4((11 + 2x)(4 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(11 + 2x)' equal to zero and attempt to solve:

Simplifying
11 + 2x = 0

Solving
11 + 2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {-5.5, -4}

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