7x^2+48x+81=0

Solution for 7x^2+48x+81=0 equation:

Simplifying
7x2 + 48x + 81 = 0

Reorder the terms:
81 + 48x + 7x2 = 0

Solving
81 + 48x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(27 + 7x)(3 + x) = 0

Subproblem 1
Set the factor '(27 + 7x)' equal to zero and attempt to solve:

Simplifying
27 + 7x = 0

Solving
27 + 7x = 0

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

Add '-27' to each side of the equation.
27 + -27 + 7x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 7x = 0 + -27
7x = 0 + -27

Combine like terms: 0 + -27 = -27
7x = -27

Divide each side by '7'.
x = -3.857142857

Simplifying
x = -3.857142857
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-3.857142857, -3}