17x^2-84x+99=0

Solution for 17x^2-84x+99=0 equation:

Simplifying
17x2 + -84x + 99 = 0

Reorder the terms:
99 + -84x + 17x2 = 0

Solving
99 + -84x + 17x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(33 + -17x)(3 + -1x) = 0

Subproblem 1
Set the factor '(33 + -17x)' equal to zero and attempt to solve:

Simplifying
33 + -17x = 0

Solving
33 + -17x = 0

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

Add '-33' to each side of the equation.
33 + -33 + -17x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -17x = 0 + -33
-17x = 0 + -33

Combine like terms: 0 + -33 = -33
-17x = -33

Divide each side by '-17'.
x = 1.941176471

Simplifying
x = 1.941176471
Subproblem 2
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
Solution
x = {1.941176471, 3}