Solve r^2=r^2-2r+5

$$r ^ { 2 } = r ^ { 2 } - 2 r + 5$$

Solve for r

$$r = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Subtract r^{2} from both sides.

$$r^{2}-r^{2}=-2r+5$$

Combine r^{2} and -r^{2} to get 0.

$$0=-2r+5$$

Swap sides so that all variable terms are on the left hand side.

$$-2r+5=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-2r=-5$$

Divide both sides by -2.

$$r=\frac{-5}{-2}$$

Fraction \frac{-5}{-2} can be simplified to \frac{5}{2} by removing the negative sign from both the numerator and the denominator.

$$r=\frac{5}{2}$$