-2x^2+7x-16=0

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Solution for -2x^2+7x-16=0 equation:


Simplifying
-2x2 + 7x + -16 = 0

Reorder the terms:
-16 + 7x + -2x2 = 0

Solving
-16 + 7x + -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'.
8 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -3.5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -3.5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3.5x + x2 = 0 + -8
-3.5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-3.5x + x2 = -8

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -8 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -8 + 3.0625

Combine like terms: -8 + 3.0625 = -4.9375
3.0625 + -3.5x + x2 = -4.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -4.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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