3x^2-11x-1600=0

Solution for 3x^2-11x-1600=0 equation:

Simplifying
3x2 + -11x + -1600 = 0

Reorder the terms:
-1600 + -11x + 3x2 = 0

Solving
-1600 + -11x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-64 + -3x)(25 + -1x) = 0

Subproblem 1
Set the factor '(-64 + -3x)' equal to zero and attempt to solve:

Simplifying
-64 + -3x = 0

Solving
-64 + -3x = 0

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

Add '64' to each side of the equation.
-64 + 64 + -3x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -3x = 0 + 64
-3x = 0 + 64

Combine like terms: 0 + 64 = 64
-3x = 64

Divide each side by '-3'.
x = -21.33333333

Simplifying
x = -21.33333333
Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {-21.33333333, 25}