(4x+8)(2x+5)=

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Solution for (4x+8)(2x+5)= equation: 


Simplifying
(4x + 8)(2x + 5) = 0

Reorder the terms:
(8 + 4x)(2x + 5) = 0

Reorder the terms:
(8 + 4x)(5 + 2x) = 0

Multiply (8 + 4x) * (5 + 2x)
(8(5 + 2x) + 4x * (5 + 2x)) = 0
((5 * 8 + 2x * 8) + 4x * (5 + 2x)) = 0
((40 + 16x) + 4x * (5 + 2x)) = 0
(40 + 16x + (5 * 4x + 2x * 4x)) = 0
(40 + 16x + (20x + 8x2)) = 0

Combine like terms: 16x + 20x = 36x
(40 + 36x + 8x2) = 0

Solving
40 + 36x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(10 + 9x + 2x2) = 0

Factor a trinomial.
4((5 + 2x)(2 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-2.5, -2}

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