2x^2+5x+6=39

Solution for 2x^2+5x+6=39 equation:

Simplifying
2x2 + 5x + 6 = 39

Reorder the terms:
6 + 5x + 2x2 = 39

Solving
6 + 5x + 2x2 = 39

Solving for variable 'x'.

Reorder the terms:
6 + -39 + 5x + 2x2 = 39 + -39

Combine like terms: 6 + -39 = -33
-33 + 5x + 2x2 = 39 + -39

Combine like terms: 39 + -39 = 0
-33 + 5x + 2x2 = 0

Factor a trinomial.
(-11 + -2x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve:

Simplifying
-11 + -2x = 0

Solving
-11 + -2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 0 + 11
-2x = 0 + 11

Combine like terms: 0 + 11 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-5.5, 3}