7x^2+62x+135=0

Solution for 7x^2+62x+135=0 equation:

Simplifying
7x2 + 62x + 135 = 0

Reorder the terms:
135 + 62x + 7x2 = 0

Solving
135 + 62x + 7x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 2
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
Solution
x = {-5, -3.857142857}