2x^2+17x+39=3

Solution for 2x^2+17x+39=3 equation:

Simplifying
2x2 + 17x + 39 = 3

Reorder the terms:
39 + 17x + 2x2 = 3

Solving
39 + 17x + 2x2 = 3

Solving for variable 'x'.

Reorder the terms:
39 + -3 + 17x + 2x2 = 3 + -3

Combine like terms: 39 + -3 = 36
36 + 17x + 2x2 = 3 + -3

Combine like terms: 3 + -3 = 0
36 + 17x + 2x2 = 0

Factor a trinomial.
(9 + 2x)(4 + x) = 0

Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-4.5, -4}