3x^2+17x-46=0

Solution for 3x^2+17x-46=0 equation:

Simplifying
3x2 + 17x + -46 = 0

Reorder the terms:
-46 + 17x + 3x2 = 0

Solving
-46 + 17x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-23 + -3x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-23 + -3x)' equal to zero and attempt to solve:

Simplifying
-23 + -3x = 0

Solving
-23 + -3x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -3x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -3x = 0 + 23
-3x = 0 + 23

Combine like terms: 0 + 23 = 23
-3x = 23

Divide each side by '-3'.
x = -7.666666667

Simplifying
x = -7.666666667
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-7.666666667, 2}