2r^2+4r=2r^2-r

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


Simplifying
2r2 + 4r = 2r2 + -1r

Reorder the terms:
4r + 2r2 = 2r2 + -1r

Reorder the terms:
4r + 2r2 = -1r + 2r2

Add '-2r2' to each side of the equation.
4r + 2r2 + -2r2 = -1r + 2r2 + -2r2

Combine like terms: 2r2 + -2r2 = 0
4r + 0 = -1r + 2r2 + -2r2
4r = -1r + 2r2 + -2r2

Combine like terms: 2r2 + -2r2 = 0
4r = -1r + 0
4r = -1r

Solving
4r = -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
4r + r = -1r + r

Combine like terms: 4r + r = 5r
5r = -1r + r

Combine like terms: -1r + r = 0
5r = 0

Divide each side by '5'.
r = 0

Simplifying
r = 0

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