-2x^2+3x=6

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Solution for -2x^2+3x=6 equation:


Simplifying
-2x2 + 3x = 6

Reorder the terms:
3x + -2x2 = 6

Solving
3x + -2x2 = 6

Solving for variable 'x'.

Reorder the terms:
-6 + 3x + -2x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 3x + -2x2 = 0

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

Divide each side by '-2'.
3 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -1.5x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -1.5x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1.5x + x2 = 0 + -3
-1.5x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1.5x + x2 = -3

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -3 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -3 + 0.5625

Combine like terms: -3 + 0.5625 = -2.4375
0.5625 + -1.5x + x2 = -2.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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