77x^2+54x+9=0

Solution for 77x^2+54x+9=0 equation:

Simplifying
77x2 + 54x + 9 = 0

Reorder the terms:
9 + 54x + 77x2 = 0

Solving
9 + 54x + 77x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 7x)(3 + 11x) = 0

Subproblem 1
Set the factor '(3 + 7x)' equal to zero and attempt to solve:

Simplifying
3 + 7x = 0

Solving
3 + 7x = 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 + 7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 0 + -3
7x = 0 + -3

Combine like terms: 0 + -3 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286
Subproblem 2
Set the factor '(3 + 11x)' equal to zero and attempt to solve:

Simplifying
3 + 11x = 0

Solving
3 + 11x = 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 + 11x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = 0 + -3
11x = 0 + -3

Combine like terms: 0 + -3 = -3
11x = -3

Divide each side by '11'.
x = -0.2727272727

Simplifying
x = -0.2727272727
Solution
x = {-0.4285714286, -0.2727272727}