-7r^2+140r^2-700=0

Solution for -7r^2+140r^2-700=0 equation:

Simplifying
-7r2 + 140r2 + -700 = 0

Reorder the terms:
-700 + -7r2 + 140r2 = 0

Combine like terms: -7r2 + 140r2 = 133r2
-700 + 133r2 = 0

Solving
-700 + 133r2 = 0

Solving for variable 'r'.

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

Add '700' to each side of the equation.
-700 + 700 + 133r2 = 0 + 700

Combine like terms: -700 + 700 = 0
0 + 133r2 = 0 + 700
133r2 = 0 + 700

Combine like terms: 0 + 700 = 700
133r2 = 700

Divide each side by '133'.
r2 = 5.263157895

Simplifying
r2 = 5.263157895

Take the square root of each side:
r = {-2.294157339, 2.294157339}