x^2-15x+225=0

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Solution for x^2-15x+225=0 equation:


Simplifying
x2 + -15x + 225 = 0

Reorder the terms:
225 + -15x + x2 = 0

Solving
225 + -15x + 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 + -15x + -225 + x2 = 0 + -225

Reorder the terms:
225 + -225 + -15x + x2 = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -15x + x2 = 0 + -225
-15x + x2 = 0 + -225

Combine like terms: 0 + -225 = -225
-15x + x2 = -225

The x term is -15x.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15x + 56.25 + x2 = -225 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -225 + 56.25

Combine like terms: -225 + 56.25 = -168.75
56.25 + -15x + x2 = -168.75

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -168.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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