4r^2+31t+42=0

Solution for 4r^2+31t+42=0 equation:

Simplifying
4r2 + 31t + 42 = 0

Reorder the terms:
42 + 4r2 + 31t = 0

Solving
42 + 4r2 + 31t = 0

Solving for variable 'r'.

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

Add '-42' to each side of the equation.
42 + 4r2 + -42 + 31t = 0 + -42

Reorder the terms:
42 + -42 + 4r2 + 31t = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 4r2 + 31t = 0 + -42
4r2 + 31t = 0 + -42

Combine like terms: 0 + -42 = -42
4r2 + 31t = -42

Add '-31t' to each side of the equation.
4r2 + 31t + -31t = -42 + -31t

Combine like terms: 31t + -31t = 0
4r2 + 0 = -42 + -31t
4r2 = -42 + -31t

Divide each side by '4'.
r2 = -10.5 + -7.75t

Simplifying
r2 = -10.5 + -7.75t

Reorder the terms:
10.5 + r2 + 7.75t = -10.5 + -7.75t + 10.5 + 7.75t

Reorder the terms:
10.5 + r2 + 7.75t = -10.5 + 10.5 + -7.75t + 7.75t

Combine like terms: -10.5 + 10.5 = 0.0
10.5 + r2 + 7.75t = 0.0 + -7.75t + 7.75t
10.5 + r2 + 7.75t = -7.75t + 7.75t

Combine like terms: -7.75t + 7.75t = 0.00
10.5 + r2 + 7.75t = 0.00

The solution to this equation could not be determined.