(7x+1)(x+4)=

Solution for (7x+1)(x+4)= equation:

Simplifying
(7x + 1)(x + 4) = 0

Reorder the terms:
(1 + 7x)(x + 4) = 0

Reorder the terms:
(1 + 7x)(4 + x) = 0

Multiply (1 + 7x) * (4 + x)
(1(4 + x) + 7x * (4 + x)) = 0
((4 * 1 + x * 1) + 7x * (4 + x)) = 0
((4 + 1x) + 7x * (4 + x)) = 0
(4 + 1x + (4 * 7x + x * 7x)) = 0
(4 + 1x + (28x + 7x2)) = 0

Combine like terms: 1x + 28x = 29x
(4 + 29x + 7x2) = 0

Solving
4 + 29x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(1 + 7x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve:

Simplifying
1 + 7x = 0

Solving
1 + 7x = 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 + 7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 0 + -1
7x = 0 + -1

Combine like terms: 0 + -1 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429
Solution
x = {-4, -0.1428571429}