49x^2+84x=-36

Solution for 49x^2+84x=-36 equation:

Simplifying
49x2 + 84x = -36

Reorder the terms:
84x + 49x2 = -36

Solving
84x + 49x2 = -36

Solving for variable 'x'.

Reorder the terms:
36 + 84x + 49x2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + 84x + 49x2 = 0

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

Subproblem 1
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
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 = {-0.8571428571, -0.8571428571}