Simplifying
5x2 + -17x + 6 = 0
Reorder the terms:
6 + -17x + 5x2 = 0
Solving
6 + -17x + 5x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(2 + -5x)(3 + -1x) = 0
Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:
Simplifying
2 + -5x = 0
Solving
2 + -5x = 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 + -5x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2
Combine like terms: 0 + -2 = -2
-5x = -2
Divide each side by '-5'.
x = 0.4
Simplifying
x = 0.4
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 = {0.4, 3}
