2x^2=35x-240

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Solution for 2x^2=35x-240 equation:


Simplifying
2x2 = 35x + -240

Reorder the terms:
2x2 = -240 + 35x

Solving
2x2 = -240 + 35x

Solving for variable 'x'.

Reorder the terms:
240 + -35x + 2x2 = -240 + 35x + 240 + -35x

Reorder the terms:
240 + -35x + 2x2 = -240 + 240 + 35x + -35x

Combine like terms: -240 + 240 = 0
240 + -35x + 2x2 = 0 + 35x + -35x
240 + -35x + 2x2 = 35x + -35x

Combine like terms: 35x + -35x = 0
240 + -35x + 2x2 = 0

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

Divide each side by '2'.
120 + -17.5x + x2 = 0

Move the constant term to the right:

Add '-120' to each side of the equation.
120 + -17.5x + -120 + x2 = 0 + -120

Reorder the terms:
120 + -120 + -17.5x + x2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -17.5x + x2 = 0 + -120
-17.5x + x2 = 0 + -120

Combine like terms: 0 + -120 = -120
-17.5x + x2 = -120

The x term is -17.5x.  Take half its coefficient (-8.75).
Square it (76.5625) and add it to both sides.

Add '76.5625' to each side of the equation.
-17.5x + 76.5625 + x2 = -120 + 76.5625

Reorder the terms:
76.5625 + -17.5x + x2 = -120 + 76.5625

Combine like terms: -120 + 76.5625 = -43.4375
76.5625 + -17.5x + x2 = -43.4375

Factor a perfect square on the left side:
(x + -8.75)(x + -8.75) = -43.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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