7r^2-3=6r^2

Solution for 7r^2-3=6r^2 equation:

Simplifying
7r2 + -3 = 6r2

Reorder the terms:
-3 + 7r2 = 6r2

Solving
-3 + 7r2 = 6r2

Solving for variable 'r'.

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

Add '-6r2' to each side of the equation.
-3 + 7r2 + -6r2 = 6r2 + -6r2

Combine like terms: 7r2 + -6r2 = 1r2
-3 + 1r2 = 6r2 + -6r2

Combine like terms: 6r2 + -6r2 = 0
-3 + 1r2 = 0

Add '3' to each side of the equation.
-3 + 3 + 1r2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1r2 = 0 + 3
1r2 = 0 + 3

Combine like terms: 0 + 3 = 3
1r2 = 3

Divide each side by '1'.
r2 = 3

Simplifying
r2 = 3

Take the square root of each side:
r = {-1.732050808, 1.732050808}