-5x^2+72x-502=0

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Solution for -5x^2+72x-502=0 equation:


Simplifying
-5x2 + 72x + -502 = 0

Reorder the terms:
-502 + 72x + -5x2 = 0

Solving
-502 + 72x + -5x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
100.4 + -14.4x + x2 = 0

Move the constant term to the right:

Add '-100.4' to each side of the equation.
100.4 + -14.4x + -100.4 + x2 = 0 + -100.4

Reorder the terms:
100.4 + -100.4 + -14.4x + x2 = 0 + -100.4

Combine like terms: 100.4 + -100.4 = 0.0
0.0 + -14.4x + x2 = 0 + -100.4
-14.4x + x2 = 0 + -100.4

Combine like terms: 0 + -100.4 = -100.4
-14.4x + x2 = -100.4

The x term is -14.4x.  Take half its coefficient (-7.2).
Square it (51.84) and add it to both sides.

Add '51.84' to each side of the equation.
-14.4x + 51.84 + x2 = -100.4 + 51.84

Reorder the terms:
51.84 + -14.4x + x2 = -100.4 + 51.84

Combine like terms: -100.4 + 51.84 = -48.56
51.84 + -14.4x + x2 = -48.56

Factor a perfect square on the left side:
(x + -7.2)(x + -7.2) = -48.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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