5x^2+17r+6=0

Solution for 5x^2+17r+6=0 equation:

Simplifying
5x2 + 17r + 6 = 0

Reorder the terms:
6 + 17r + 5x2 = 0

Solving
6 + 17r + 5x2 = 0

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + 17r + -6 + 5x2 = 0 + -6

Reorder the terms:
6 + -6 + 17r + 5x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 17r + 5x2 = 0 + -6
17r + 5x2 = 0 + -6

Combine like terms: 0 + -6 = -6
17r + 5x2 = -6

Add '-5x2' to each side of the equation.
17r + 5x2 + -5x2 = -6 + -5x2

Combine like terms: 5x2 + -5x2 = 0
17r + 0 = -6 + -5x2
17r = -6 + -5x2

Divide each side by '17'.
r = -0.3529411765 + -0.2941176471x2

Simplifying
r = -0.3529411765 + -0.2941176471x2