3X^2=-9X-25.5

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Solution for 3X^2=-9X-25.5 equation:


Simplifying
3X2 = -9X + -25.5

Reorder the terms:
3X2 = -25.5 + -9X

Solving
3X2 = -25.5 + -9X

Solving for variable 'X'.

Reorder the terms:
25.5 + 9X + 3X2 = -25.5 + -9X + 25.5 + 9X

Reorder the terms:
25.5 + 9X + 3X2 = -25.5 + 25.5 + -9X + 9X

Combine like terms: -25.5 + 25.5 = 0.0
25.5 + 9X + 3X2 = 0.0 + -9X + 9X
25.5 + 9X + 3X2 = -9X + 9X

Combine like terms: -9X + 9X = 0
25.5 + 9X + 3X2 = 0

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

Divide each side by '3'.
8.5 + 3X + X2 = 0

Move the constant term to the right:

Add '-8.5' to each side of the equation.
8.5 + 3X + -8.5 + X2 = 0 + -8.5

Reorder the terms:
8.5 + -8.5 + 3X + X2 = 0 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + 3X + X2 = 0 + -8.5
3X + X2 = 0 + -8.5

Combine like terms: 0 + -8.5 = -8.5
3X + X2 = -8.5

The X term is 3X.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3X + 2.25 + X2 = -8.5 + 2.25

Reorder the terms:
2.25 + 3X + X2 = -8.5 + 2.25

Combine like terms: -8.5 + 2.25 = -6.25
2.25 + 3X + X2 = -6.25

Factor a perfect square on the left side:
(X + 1.5)(X + 1.5) = -6.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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