-16x^2-21x+207=0

Solution for -16x^2-21x+207=0 equation:

Simplifying
-16x2 + -21x + 207 = 0

Reorder the terms:
207 + -21x + -16x2 = 0

Solving
207 + -21x + -16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(69 + 16x) = 0

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(69 + 16x)' equal to zero and attempt to solve:

Simplifying
69 + 16x = 0

Solving
69 + 16x = 0

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

Add '-69' to each side of the equation.
69 + -69 + 16x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 16x = 0 + -69
16x = 0 + -69

Combine like terms: 0 + -69 = -69
16x = -69

Divide each side by '16'.
x = -4.3125

Simplifying
x = -4.3125
Solution
x = {3, -4.3125}