3r^2-4=2r^2

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Solution for 3r^2-4=2r^2 equation:


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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