50+.5*5x^2=20x

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Solution for 50+.5*5x^2=20x equation:


Simplifying
50 + 0.5 * 5x2 = 20x

Multiply 0.5 * 5
50 + 2.5x2 = 20x

Solving
50 + 2.5x2 = 20x

Solving for variable 'x'.

Reorder the terms:
50 + -20x + 2.5x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
50 + -20x + 2.5x2 = 0

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

Divide each side by '2.5'.
20 + -8x + x2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -8x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -8x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -8x + x2 = 0 + -20
-8x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-8x + x2 = -20

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -20 + 16

Reorder the terms:
16 + -8x + x2 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + -8x + x2 = -4

Factor a perfect square on the left side:
(x + -4)(x + -4) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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