6x^2+11x=710

Solution for 6x^2+11x=710 equation:

Simplifying
6x2 + 11x = 710

Reorder the terms:
11x + 6x2 = 710

Solving
11x + 6x2 = 710

Solving for variable 'x'.

Reorder the terms:
-710 + 11x + 6x2 = 710 + -710

Combine like terms: 710 + -710 = 0
-710 + 11x + 6x2 = 0

Factor a trinomial.
(-71 + -6x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-71 + -6x)' equal to zero and attempt to solve:

Simplifying
-71 + -6x = 0

Solving
-71 + -6x = 0

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

Add '71' to each side of the equation.
-71 + 71 + -6x = 0 + 71

Combine like terms: -71 + 71 = 0
0 + -6x = 0 + 71
-6x = 0 + 71

Combine like terms: 0 + 71 = 71
-6x = 71

Divide each side by '-6'.
x = -11.83333333

Simplifying
x = -11.83333333
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-11.83333333, 10}