77x^2+x-6=

Solution for 77x^2+x-6= equation:

Simplifying
77x2 + x + -6 = 0

Reorder the terms:
-6 + x + 77x2 = 0

Solving
-6 + x + 77x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -7x)(3 + -11x) = 0

Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve:

Simplifying
-2 + -7x = 0

Solving
-2 + -7x = 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 + -7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 0 + 2
-7x = 0 + 2

Combine like terms: 0 + 2 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
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 = {-0.2857142857, 0.2727272727}