X^2-20X+270=0

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Solution for X^2-20X+270=0 equation:


Simplifying
X2 + -20X + 270 = 0

Reorder the terms:
270 + -20X + X2 = 0

Solving
270 + -20X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-270' to each side of the equation.
270 + -20X + -270 + X2 = 0 + -270

Reorder the terms:
270 + -270 + -20X + X2 = 0 + -270

Combine like terms: 270 + -270 = 0
0 + -20X + X2 = 0 + -270
-20X + X2 = 0 + -270

Combine like terms: 0 + -270 = -270
-20X + X2 = -270

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 = -270 + 100

Reorder the terms:
100 + -20X + X2 = -270 + 100

Combine like terms: -270 + 100 = -170
100 + -20X + X2 = -170

Factor a perfect square on the left side:
(X + -10)(X + -10) = -170

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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