=2x^2-25x-42

Solution for =2x^2-25x-42 equation:

Simplifying
0 = 2x2 + -25x + -42

Reorder the terms:
0 = -42 + -25x + 2x2

Solving
0 = -42 + -25x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 42 = 42
42 + 25x + -2x2 = -42 + -25x + 2x2 + 42 + 25x + -2x2

Reorder the terms:
42 + 25x + -2x2 = -42 + 42 + -25x + 25x + 2x2 + -2x2

Combine like terms: -42 + 42 = 0
42 + 25x + -2x2 = 0 + -25x + 25x + 2x2 + -2x2
42 + 25x + -2x2 = -25x + 25x + 2x2 + -2x2

Combine like terms: -25x + 25x = 0
42 + 25x + -2x2 = 0 + 2x2 + -2x2
42 + 25x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
42 + 25x + -2x2 = 0

Factor a trinomial.
(14 + -1x)(3 + 2x) = 0

Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {14, -1.5}