7x^2+48x+68=0

Solution for 7x^2+48x+68=0 equation:

Simplifying
7x2 + 48x + 68 = 0

Reorder the terms:
68 + 48x + 7x2 = 0

Solving
68 + 48x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(34 + 7x)(2 + x) = 0

Subproblem 1
Set the factor '(34 + 7x)' equal to zero and attempt to solve:

Simplifying
34 + 7x = 0

Solving
34 + 7x = 0

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

Add '-34' to each side of the equation.
34 + -34 + 7x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 7x = 0 + -34
7x = 0 + -34

Combine like terms: 0 + -34 = -34
7x = -34

Divide each side by '7'.
x = -4.857142857

Simplifying
x = -4.857142857
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-4.857142857, -2}