x^2+20x+225=0

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Solution for x^2+20x+225=0 equation:


Simplifying
x2 + 20x + 225 = 0

Reorder the terms:
225 + 20x + x2 = 0

Solving
225 + 20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-225' to each side of the equation.
225 + 20x + -225 + x2 = 0 + -225

Reorder the terms:
225 + -225 + 20x + x2 = 0 + -225

Combine like terms: 225 + -225 = 0
0 + 20x + x2 = 0 + -225
20x + x2 = 0 + -225

Combine like terms: 0 + -225 = -225
20x + x2 = -225

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 = -225 + 100

Reorder the terms:
100 + 20x + x2 = -225 + 100

Combine like terms: -225 + 100 = -125
100 + 20x + x2 = -125

Factor a perfect square on the left side:
(x + 10)(x + 10) = -125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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