17x^2-84x+100=0

Solution for 17x^2-84x+100=0 equation:

Simplifying
17x2 + -84x + 100 = 0

Reorder the terms:
100 + -84x + 17x2 = 0

Solving
100 + -84x + 17x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(50 + -17x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(50 + -17x)' equal to zero and attempt to solve:

Simplifying
50 + -17x = 0

Solving
50 + -17x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -17x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -17x = 0 + -50
-17x = 0 + -50

Combine like terms: 0 + -50 = -50
-17x = -50

Divide each side by '-17'.
x = 2.941176471

Simplifying
x = 2.941176471
Solution
x = {2, 2.941176471}