4x^2-35x+375=0

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Solution for 4x^2-35x+375=0 equation:


Simplifying
4x2 + -35x + 375 = 0

Reorder the terms:
375 + -35x + 4x2 = 0

Solving
375 + -35x + 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'.
93.75 + -8.75x + x2 = 0

Move the constant term to the right:

Add '-93.75' to each side of the equation.
93.75 + -8.75x + -93.75 + x2 = 0 + -93.75

Reorder the terms:
93.75 + -93.75 + -8.75x + x2 = 0 + -93.75

Combine like terms: 93.75 + -93.75 = 0.00
0.00 + -8.75x + x2 = 0 + -93.75
-8.75x + x2 = 0 + -93.75

Combine like terms: 0 + -93.75 = -93.75
-8.75x + x2 = -93.75

The x term is -8.75x.  Take half its coefficient (-4.375).
Square it (19.140625) and add it to both sides.

Add '19.140625' to each side of the equation.
-8.75x + 19.140625 + x2 = -93.75 + 19.140625

Reorder the terms:
19.140625 + -8.75x + x2 = -93.75 + 19.140625

Combine like terms: -93.75 + 19.140625 = -74.609375
19.140625 + -8.75x + x2 = -74.609375

Factor a perfect square on the left side:
(x + -4.375)(x + -4.375) = -74.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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