x^2-24x+225=0

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Solution for x^2-24x+225=0 equation:


Simplifying
x2 + -24x + 225 = 0

Reorder the terms:
225 + -24x + x2 = 0

Solving
225 + -24x + 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 + -24x + -225 + x2 = 0 + -225

Reorder the terms:
225 + -225 + -24x + x2 = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -24x + x2 = 0 + -225
-24x + x2 = 0 + -225

Combine like terms: 0 + -225 = -225
-24x + x2 = -225

The x term is -24x.  Take half its coefficient (-12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
-24x + 144 + x2 = -225 + 144

Reorder the terms:
144 + -24x + x2 = -225 + 144

Combine like terms: -225 + 144 = -81
144 + -24x + x2 = -81

Factor a perfect square on the left side:
(x + -12)(x + -12) = -81

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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