x^2-15x+86=0

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Solution for x^2-15x+86=0 equation:


Simplifying
x2 + -15x + 86 = 0

Reorder the terms:
86 + -15x + x2 = 0

Solving
86 + -15x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-86' to each side of the equation.
86 + -15x + -86 + x2 = 0 + -86

Reorder the terms:
86 + -86 + -15x + x2 = 0 + -86

Combine like terms: 86 + -86 = 0
0 + -15x + x2 = 0 + -86
-15x + x2 = 0 + -86

Combine like terms: 0 + -86 = -86
-15x + x2 = -86

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 = -86 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -86 + 56.25

Combine like terms: -86 + 56.25 = -29.75
56.25 + -15x + x2 = -29.75

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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