-2x^2+6x-4=4.5

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Solution for -2x^2+6x-4=4.5 equation:


Simplifying
-2x2 + 6x + -4 = 4.5

Reorder the terms:
-4 + 6x + -2x2 = 4.5

Solving
-4 + 6x + -2x2 = 4.5

Solving for variable 'x'.

Reorder the terms:
-4 + -4.5 + 6x + -2x2 = 4.5 + -4.5

Combine like terms: -4 + -4.5 = -8.5
-8.5 + 6x + -2x2 = 4.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
-8.5 + 6x + -2x2 = 0.0

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

Divide each side by '-2'.
4.25 + -3x + x2 = 0.0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + -3x + -4.25 + x2 = 0.0 + -4.25

Reorder the terms:
4.25 + -4.25 + -3x + x2 = 0.0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + -3x + x2 = 0.0 + -4.25
-3x + x2 = 0.0 + -4.25

Combine like terms: 0.0 + -4.25 = -4.25
-3x + x2 = -4.25

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 = -4.25 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -4.25 + 2.25

Combine like terms: -4.25 + 2.25 = -2
2.25 + -3x + x2 = -2

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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