-2x=1764-420x+25x^2

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Solution for -2x=1764-420x+25x^2 equation: 


Simplifying
-2x = 1764 + -420x + 25x2

Solving
-2x = 1764 + -420x + 25x2

Solving for variable 'x'.

Reorder the terms:
-1764 + -2x + 420x + -25x2 = 1764 + -420x + 25x2 + -1764 + 420x + -25x2

Combine like terms: -2x + 420x = 418x
-1764 + 418x + -25x2 = 1764 + -420x + 25x2 + -1764 + 420x + -25x2

Reorder the terms:
-1764 + 418x + -25x2 = 1764 + -1764 + -420x + 420x + 25x2 + -25x2

Combine like terms: 1764 + -1764 = 0
-1764 + 418x + -25x2 = 0 + -420x + 420x + 25x2 + -25x2
-1764 + 418x + -25x2 = -420x + 420x + 25x2 + -25x2

Combine like terms: -420x + 420x = 0
-1764 + 418x + -25x2 = 0 + 25x2 + -25x2
-1764 + 418x + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-1764 + 418x + -25x2 = 0

Begin completing the square.  Divide all terms by
-25 the coefficient of the squared term: 

Divide each side by '-25'.
70.56 + -16.72x + x2 = 0

Move the constant term to the right:

Add '-70.56' to each side of the equation.
70.56 + -16.72x + -70.56 + x2 = 0 + -70.56

Reorder the terms:
70.56 + -70.56 + -16.72x + x2 = 0 + -70.56

Combine like terms: 70.56 + -70.56 = 0.00
0.00 + -16.72x + x2 = 0 + -70.56
-16.72x + x2 = 0 + -70.56

Combine like terms: 0 + -70.56 = -70.56
-16.72x + x2 = -70.56

The x term is -16.72x.  Take half its coefficient (-8.36).
Square it (69.8896) and add it to both sides.

Add '69.8896' to each side of the equation.
-16.72x + 69.8896 + x2 = -70.56 + 69.8896

Reorder the terms:
69.8896 + -16.72x + x2 = -70.56 + 69.8896

Combine like terms: -70.56 + 69.8896 = -0.6704
69.8896 + -16.72x + x2 = -0.6704

Factor a perfect square on the left side:
(x + -8.36)(x + -8.36) = -0.6704

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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