25x-2x^2=144

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Solution for 25x-2x^2=144 equation:


Simplifying
25x + -2x2 = 144

Solving
25x + -2x2 = 144

Solving for variable 'x'.

Reorder the terms:
-144 + 25x + -2x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 25x + -2x2 = 0

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

Divide each side by '-2'.
72 + -12.5x + x2 = 0

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -12.5x + -72 + x2 = 0 + -72

Reorder the terms:
72 + -72 + -12.5x + x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -12.5x + x2 = 0 + -72
-12.5x + x2 = 0 + -72

Combine like terms: 0 + -72 = -72
-12.5x + x2 = -72

The x term is -12.5x.  Take half its coefficient (-6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
-12.5x + 39.0625 + x2 = -72 + 39.0625

Reorder the terms:
39.0625 + -12.5x + x2 = -72 + 39.0625

Combine like terms: -72 + 39.0625 = -32.9375
39.0625 + -12.5x + x2 = -32.9375

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = -32.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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