(5x+4)(5x+4)+8(5x+4)+16=0

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Solution for (5x+4)(5x+4)+8(5x+4)+16=0 equation: 


Simplifying
(5x + 4)(5x + 4) + 8(5x + 4) + 16 = 0

Reorder the terms:
(4 + 5x)(5x + 4) + 8(5x + 4) + 16 = 0

Reorder the terms:
(4 + 5x)(4 + 5x) + 8(5x + 4) + 16 = 0

Multiply (4 + 5x) * (4 + 5x)
(4(4 + 5x) + 5x * (4 + 5x)) + 8(5x + 4) + 16 = 0
((4 * 4 + 5x * 4) + 5x * (4 + 5x)) + 8(5x + 4) + 16 = 0
((16 + 20x) + 5x * (4 + 5x)) + 8(5x + 4) + 16 = 0
(16 + 20x + (4 * 5x + 5x * 5x)) + 8(5x + 4) + 16 = 0
(16 + 20x + (20x + 25x2)) + 8(5x + 4) + 16 = 0

Combine like terms: 20x + 20x = 40x
(16 + 40x + 25x2) + 8(5x + 4) + 16 = 0

Reorder the terms:
16 + 40x + 25x2 + 8(4 + 5x) + 16 = 0
16 + 40x + 25x2 + (4 * 8 + 5x * 8) + 16 = 0
16 + 40x + 25x2 + (32 + 40x) + 16 = 0

Reorder the terms:
16 + 32 + 16 + 40x + 40x + 25x2 = 0

Combine like terms: 16 + 32 = 48
48 + 16 + 40x + 40x + 25x2 = 0

Combine like terms: 48 + 16 = 64
64 + 40x + 40x + 25x2 = 0

Combine like terms: 40x + 40x = 80x
64 + 80x + 25x2 = 0

Solving
64 + 80x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 5x)(8 + 5x) = 0


Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6
Solution
x = {-1.6, -1.6}

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