-2X^2=25-10X

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Solution for -2X^2=25-10X equation:


Simplifying
-2X2 = 25 + -10X

Solving
-2X2 = 25 + -10X

Solving for variable 'X'.

Reorder the terms:
-25 + 10X + -2X2 = 25 + -10X + -25 + 10X

Reorder the terms:
-25 + 10X + -2X2 = 25 + -25 + -10X + 10X

Combine like terms: 25 + -25 = 0
-25 + 10X + -2X2 = 0 + -10X + 10X
-25 + 10X + -2X2 = -10X + 10X

Combine like terms: -10X + 10X = 0
-25 + 10X + -2X2 = 0

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

Divide each side by '-2'.
12.5 + -5X + X2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + -5X + -12.5 + X2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + -5X + X2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -5X + X2 = 0 + -12.5
-5X + X2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
-5X + X2 = -12.5

The X term is -5X.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5X + 6.25 + X2 = -12.5 + 6.25

Reorder the terms:
6.25 + -5X + X2 = -12.5 + 6.25

Combine like terms: -12.5 + 6.25 = -6.25
6.25 + -5X + X2 = -6.25

Factor a perfect square on the left side:
(X + -2.5)(X + -2.5) = -6.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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