2x^2-3x-32=-48

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Solution for 2x^2-3x-32=-48 equation:


Simplifying
2x2 + -3x + -32 = -48

Reorder the terms:
-32 + -3x + 2x2 = -48

Solving
-32 + -3x + 2x2 = -48

Solving for variable 'x'.

Reorder the terms:
-32 + 48 + -3x + 2x2 = -48 + 48

Combine like terms: -32 + 48 = 16
16 + -3x + 2x2 = -48 + 48

Combine like terms: -48 + 48 = 0
16 + -3x + 2x2 = 0

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

Divide each side by '2'.
8 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -1.5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -1.5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1.5x + x2 = 0 + -8
-1.5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1.5x + x2 = -8

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 = -8 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -8 + 0.5625

Combine like terms: -8 + 0.5625 = -7.4375
0.5625 + -1.5x + x2 = -7.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -7.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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