16x^2-41x-57=0

Solution for 16x^2-41x-57=0 equation:

Simplifying
16x2 + -41x + -57 = 0

Reorder the terms:
-57 + -41x + 16x2 = 0

Solving
-57 + -41x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(57 + -16x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(57 + -16x)' equal to zero and attempt to solve:

Simplifying
57 + -16x = 0

Solving
57 + -16x = 0

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

Add '-57' to each side of the equation.
57 + -57 + -16x = 0 + -57

Combine like terms: 57 + -57 = 0
0 + -16x = 0 + -57
-16x = 0 + -57

Combine like terms: 0 + -57 = -57
-16x = -57

Divide each side by '-16'.
x = 3.5625

Simplifying
x = 3.5625
Solution
x = {-1, 3.5625}