49x^2+112x=-60

Solution for 49x^2+112x=-60 equation:

Simplifying
49x2 + 112x = -60

Reorder the terms:
112x + 49x2 = -60

Solving
112x + 49x2 = -60

Solving for variable 'x'.

Reorder the terms:
60 + 112x + 49x2 = -60 + 60

Combine like terms: -60 + 60 = 0
60 + 112x + 49x2 = 0

Factor a trinomial.
(10 + 7x)(6 + 7x) = 0

Subproblem 1
Set the factor '(10 + 7x)' equal to zero and attempt to solve:

Simplifying
10 + 7x = 0

Solving
10 + 7x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 0 + -10
7x = 0 + -10

Combine like terms: 0 + -10 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429
Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve:

Simplifying
6 + 7x = 0

Solving
6 + 7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 0 + -6
7x = 0 + -6

Combine like terms: 0 + -6 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571
Solution
x = {-1.428571429, -0.8571428571}