4x^2-31x+63=0

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Solution for 4x^2-31x+63=0 equation:


Simplifying
4x2 + -31x + 63 = 0

Reorder the terms:
63 + -31x + 4x2 = 0

Solving
63 + -31x + 4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
15.75 + -7.75x + x2 = 0

Move the constant term to the right:

Add '-15.75' to each side of the equation.
15.75 + -7.75x + -15.75 + x2 = 0 + -15.75

Reorder the terms:
15.75 + -15.75 + -7.75x + x2 = 0 + -15.75

Combine like terms: 15.75 + -15.75 = 0.00
0.00 + -7.75x + x2 = 0 + -15.75
-7.75x + x2 = 0 + -15.75

Combine like terms: 0 + -15.75 = -15.75
-7.75x + x2 = -15.75

The x term is -7.75x.  Take half its coefficient (-3.875).
Square it (15.015625) and add it to both sides.

Add '15.015625' to each side of the equation.
-7.75x + 15.015625 + x2 = -15.75 + 15.015625

Reorder the terms:
15.015625 + -7.75x + x2 = -15.75 + 15.015625

Combine like terms: -15.75 + 15.015625 = -0.734375
15.015625 + -7.75x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -3.875)(x + -3.875) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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