3x^2+50x-112=0

Solution for 3x^2+50x-112=0 equation:

Simplifying
3x2 + 50x + -112 = 0

Reorder the terms:
-112 + 50x + 3x2 = 0

Solving
-112 + 50x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-56 + -3x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-56 + -3x)' equal to zero and attempt to solve:

Simplifying
-56 + -3x = 0

Solving
-56 + -3x = 0

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

Add '56' to each side of the equation.
-56 + 56 + -3x = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -3x = 0 + 56
-3x = 0 + 56

Combine like terms: 0 + 56 = 56
-3x = 56

Divide each side by '-3'.
x = -18.66666667

Simplifying
x = -18.66666667
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 = {-18.66666667, 2}