(2n+4)(7n-1)=

Solution for (2n+4)(7n-1)= equation:

Simplifying
(2n + 4)(7n + -1) = 0

Reorder the terms:
(4 + 2n)(7n + -1) = 0

Reorder the terms:
(4 + 2n)(-1 + 7n) = 0

Multiply (4 + 2n) * (-1 + 7n)
(4(-1 + 7n) + 2n * (-1 + 7n)) = 0
((-1 * 4 + 7n * 4) + 2n * (-1 + 7n)) = 0
((-4 + 28n) + 2n * (-1 + 7n)) = 0
(-4 + 28n + (-1 * 2n + 7n * 2n)) = 0
(-4 + 28n + (-2n + 14n2)) = 0

Combine like terms: 28n + -2n = 26n
(-4 + 26n + 14n2) = 0

Solving
-4 + 26n + 14n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 13n + 7n2) = 0

Factor a trinomial.
2((-2 + -1n)(1 + -7n)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-2 + -1n)' equal to zero and attempt to solve:

Simplifying
-2 + -1n = 0

Solving
-2 + -1n = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1n = 0 + 2
-1n = 0 + 2

Combine like terms: 0 + 2 = 2
-1n = 2

Divide each side by '-1'.
n = -2

Simplifying
n = -2
Subproblem 2
Set the factor '(1 + -7n)' equal to zero and attempt to solve:

Simplifying
1 + -7n = 0

Solving
1 + -7n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7n = 0 + -1

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

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

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

Simplifying
n = 0.1428571429
Solution
n = {-2, 0.1428571429}