2r^2-3=-3-2*(2r-r^2)

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Solution for 2r^2-3=-3-2*(2r-r^2) equation:


Simplifying
2r2 + -3 = -3 + -2(2r + -1r2)

Reorder the terms:
-3 + 2r2 = -3 + -2(2r + -1r2)
-3 + 2r2 = -3 + (2r * -2 + -1r2 * -2)
-3 + 2r2 = -3 + (-4r + 2r2)

Add '3' to each side of the equation.
-3 + 3 + 2r2 = -3 + -4r + 3 + 2r2

Combine like terms: -3 + 3 = 0
0 + 2r2 = -3 + -4r + 3 + 2r2
2r2 = -3 + -4r + 3 + 2r2

Reorder the terms:
2r2 = -3 + 3 + -4r + 2r2

Combine like terms: -3 + 3 = 0
2r2 = 0 + -4r + 2r2
2r2 = -4r + 2r2

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

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

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

Solving
0 = -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
0 + 4r = -4r + 4r
Remove the zero:
4r = -4r + 4r

Combine like terms: -4r + 4r = 0
4r = 0

Divide each side by '4'.
r = 0

Simplifying
r = 0

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