r^2-6r+25=0

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Solution for r^2-6r+25=0 equation:


Simplifying
r2 + -6r + 25 = 0

Reorder the terms:
25 + -6r + r2 = 0

Solving
25 + -6r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -6r + -25 + r2 = 0 + -25

Reorder the terms:
25 + -25 + -6r + r2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -6r + r2 = 0 + -25
-6r + r2 = 0 + -25

Combine like terms: 0 + -25 = -25
-6r + r2 = -25

The r term is -6r.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6r + 9 + r2 = -25 + 9

Reorder the terms:
9 + -6r + r2 = -25 + 9

Combine like terms: -25 + 9 = -16
9 + -6r + r2 = -16

Factor a perfect square on the left side:
(r + -3)(r + -3) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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