=2x^2+17x-42

Solution for =2x^2+17x-42 equation:

Simplifying
0 = 2x2 + 17x + -42

Reorder the terms:
0 = -42 + 17x + 2x2

Solving
0 = -42 + 17x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 42 = 42
42 + -17x + -2x2 = -42 + 17x + 2x2 + 42 + -17x + -2x2

Reorder the terms:
42 + -17x + -2x2 = -42 + 42 + 17x + -17x + 2x2 + -2x2

Combine like terms: -42 + 42 = 0
42 + -17x + -2x2 = 0 + 17x + -17x + 2x2 + -2x2
42 + -17x + -2x2 = 17x + -17x + 2x2 + -2x2

Combine like terms: 17x + -17x = 0
42 + -17x + -2x2 = 0 + 2x2 + -2x2
42 + -17x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
42 + -17x + -2x2 = 0

Factor a trinomial.
(2 + -1x)(21 + 2x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(21 + 2x)' equal to zero and attempt to solve:

Simplifying
21 + 2x = 0

Solving
21 + 2x = 0

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

Add '-21' to each side of the equation.
21 + -21 + 2x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 0 + -21
2x = 0 + -21

Combine like terms: 0 + -21 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5
Solution
x = {2, -10.5}