12=5x^2+17x

Solution for 12=5x^2+17x equation:

Simplifying
12 = 5x2 + 17x

Reorder the terms:
12 = 17x + 5x2

Solving
12 = 17x + 5x2

Solving for variable 'x'.

Reorder the terms:
12 + -17x + -5x2 = 17x + -17x + 5x2 + -5x2

Combine like terms: 17x + -17x = 0
12 + -17x + -5x2 = 0 + 5x2 + -5x2
12 + -17x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
12 + -17x + -5x2 = 0

Factor a trinomial.
(3 + -5x)(4 + x) = 0

Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
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 = {0.6, -4}