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

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

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

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

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

Multiply (5 + x) * (1 + 8x)
4(5(1 + 8x) + x(1 + 8x)) = 0
4((1 * 5 + 8x * 5) + x(1 + 8x)) = 0
4((5 + 40x) + x(1 + 8x)) = 0
4(5 + 40x + (1 * x + 8x * x)) = 0
4(5 + 40x + (1x + 8x2)) = 0

Combine like terms: 40x + 1x = 41x
4(5 + 41x + 8x2) = 0
(5 * 4 + 41x * 4 + 8x2 * 4) = 0
(20 + 164x + 32x2) = 0

Solving
20 + 164x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 41x + 8x2) = 0

Factor a trinomial.
4((5 + x)(1 + 8x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5
Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 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 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {-5, -0.125}