x^2-20x+300=0

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Solution for x^2-20x+300=0 equation:


Simplifying
x2 + -20x + 300 = 0

Reorder the terms:
300 + -20x + x2 = 0

Solving
300 + -20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-300' to each side of the equation.
300 + -20x + -300 + x2 = 0 + -300

Reorder the terms:
300 + -300 + -20x + x2 = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -20x + x2 = 0 + -300
-20x + x2 = 0 + -300

Combine like terms: 0 + -300 = -300
-20x + x2 = -300

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -300 + 100

Reorder the terms:
100 + -20x + x2 = -300 + 100

Combine like terms: -300 + 100 = -200
100 + -20x + x2 = -200

Factor a perfect square on the left side:
(x + -10)(x + -10) = -200

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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