(4x+1)(5x+8)=

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Solution for (4x+1)(5x+8)= equation: 


Simplifying
(4x + 1)(5x + 8) = 0

Reorder the terms:
(1 + 4x)(5x + 8) = 0

Reorder the terms:
(1 + 4x)(8 + 5x) = 0

Multiply (1 + 4x) * (8 + 5x)
(1(8 + 5x) + 4x * (8 + 5x)) = 0
((8 * 1 + 5x * 1) + 4x * (8 + 5x)) = 0
((8 + 5x) + 4x * (8 + 5x)) = 0
(8 + 5x + (8 * 4x + 5x * 4x)) = 0
(8 + 5x + (32x + 20x2)) = 0

Combine like terms: 5x + 32x = 37x
(8 + 37x + 20x2) = 0

Solving
8 + 37x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 5x)(1 + 4x) = 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 '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 0

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

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

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

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

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {-1.6, -0.25}

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