(4n+7)(3n+7)=0

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Solution for (4n+7)(3n+7)=0 equation: 


Simplifying
(4n + 7)(3n + 7) = 0

Reorder the terms:
(7 + 4n)(3n + 7) = 0

Reorder the terms:
(7 + 4n)(7 + 3n) = 0

Multiply (7 + 4n) * (7 + 3n)
(7(7 + 3n) + 4n * (7 + 3n)) = 0
((7 * 7 + 3n * 7) + 4n * (7 + 3n)) = 0
((49 + 21n) + 4n * (7 + 3n)) = 0
(49 + 21n + (7 * 4n + 3n * 4n)) = 0
(49 + 21n + (28n + 12n2)) = 0

Combine like terms: 21n + 28n = 49n
(49 + 49n + 12n2) = 0

Solving
49 + 49n + 12n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(7 + 3n)(7 + 4n) = 0


Subproblem 1
Set the factor '(7 + 3n)' equal to zero and attempt to solve:

Simplifying
7 + 3n = 0

Solving
7 + 3n = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3n = 0 + -7
3n = 0 + -7

Combine like terms: 0 + -7 = -7
3n = -7

Divide each side by '3'.
n = -2.333333333

Simplifying
n = -2.333333333

Subproblem 2
Set the factor '(7 + 4n)' equal to zero and attempt to solve:

Simplifying
7 + 4n = 0

Solving
7 + 4n = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4n = 0 + -7
4n = 0 + -7

Combine like terms: 0 + -7 = -7
4n = -7

Divide each side by '4'.
n = -1.75

Simplifying
n = -1.75
Solution
n = {-2.333333333, -1.75}

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