q^2-2q+100=0

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Solution for q^2-2q+100=0 equation:


Simplifying
q2 + -2q + 100 = 0

Reorder the terms:
100 + -2q + q2 = 0

Solving
100 + -2q + q2 = 0

Solving for variable 'q'.

Begin completing the square.

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -2q + -100 + q2 = 0 + -100

Reorder the terms:
100 + -100 + -2q + q2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -2q + q2 = 0 + -100
-2q + q2 = 0 + -100

Combine like terms: 0 + -100 = -100
-2q + q2 = -100

The q term is -2q.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2q + 1 + q2 = -100 + 1

Reorder the terms:
1 + -2q + q2 = -100 + 1

Combine like terms: -100 + 1 = -99
1 + -2q + q2 = -99

Factor a perfect square on the left side:
(q + -1)(q + -1) = -99

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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