-2x^2+9x-12=0

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Solution for -2x^2+9x-12=0 equation:


Simplifying
-2x2 + 9x + -12 = 0

Reorder the terms:
-12 + 9x + -2x2 = 0

Solving
-12 + 9x + -2x2 = 0

Solving for variable 'x'.

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

Divide each side by '-2'.
6 + -4.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -4.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4.5x + x2 = 0 + -6
-4.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4.5x + x2 = -6

The x term is -4.5x.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5x + 5.0625 + x2 = -6 + 5.0625

Reorder the terms:
5.0625 + -4.5x + x2 = -6 + 5.0625

Combine like terms: -6 + 5.0625 = -0.9375
5.0625 + -4.5x + x2 = -0.9375

Factor a perfect square on the left side:
(x + -2.25)(x + -2.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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