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Simplifying
3r2 + -4 = 2r2
Reorder the terms:
-4 + 3r2 = 2r2
Solving
-4 + 3r2 = 2r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-2r2' to each side of the equation.
-4 + 3r2 + -2r2 = 2r2 + -2r2
Combine like terms: 3r2 + -2r2 = 1r2
-4 + 1r2 = 2r2 + -2r2
Combine like terms: 2r2 + -2r2 = 0
-4 + 1r2 = 0
Add '4' to each side of the equation.
-4 + 4 + 1r2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 1r2 = 0 + 4
1r2 = 0 + 4
Combine like terms: 0 + 4 = 4
1r2 = 4
Divide each side by '1'.
r2 = 4
Simplifying
r2 = 4
Take the square root of each side:
r = {-2, 2}
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