x^2+31=3x

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Solution for x^2+31=3x equation:


Simplifying
x2 + 31 = 3x

Reorder the terms:
31 + x2 = 3x

Solving
31 + x2 = 3x

Solving for variable 'x'.

Reorder the terms:
31 + -3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
31 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-31' to each side of the equation.
31 + -3x + -31 + x2 = 0 + -31

Reorder the terms:
31 + -31 + -3x + x2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -3x + x2 = 0 + -31
-3x + x2 = 0 + -31

Combine like terms: 0 + -31 = -31
-3x + x2 = -31

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -31 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -31 + 2.25

Combine like terms: -31 + 2.25 = -28.75
2.25 + -3x + x2 = -28.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -28.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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