5r^2+43-70=0

Solution for 5r^2+43-70=0 equation:

Simplifying
5r2 + 43 + -70 = 0

Reorder the terms:
43 + -70 + 5r2 = 0

Combine like terms: 43 + -70 = -27
-27 + 5r2 = 0

Solving
-27 + 5r2 = 0

Solving for variable 'r'.

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

Add '27' to each side of the equation.
-27 + 27 + 5r2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 5r2 = 0 + 27
5r2 = 0 + 27

Combine like terms: 0 + 27 = 27
5r2 = 27

Divide each side by '5'.
r2 = 5.4

Simplifying
r2 = 5.4

Take the square root of each side:
r = {-2.323790008, 2.323790008}