x^2-15x+208=0

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Solution for x^2-15x+208=0 equation:


Simplifying
x2 + -15x + 208 = 0

Reorder the terms:
208 + -15x + x2 = 0

Solving
208 + -15x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-208' to each side of the equation.
208 + -15x + -208 + x2 = 0 + -208

Reorder the terms:
208 + -208 + -15x + x2 = 0 + -208

Combine like terms: 208 + -208 = 0
0 + -15x + x2 = 0 + -208
-15x + x2 = 0 + -208

Combine like terms: 0 + -208 = -208
-15x + x2 = -208

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 = -208 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -208 + 56.25

Combine like terms: -208 + 56.25 = -151.75
56.25 + -15x + x2 = -151.75

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -151.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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