2x*x=3x-54.5

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Solution for 2x*x=3x-54.5 equation:


Simplifying
2x * x = 3x + -54.5

Multiply x * x
2x2 = 3x + -54.5

Reorder the terms:
2x2 = -54.5 + 3x

Solving
2x2 = -54.5 + 3x

Solving for variable 'x'.

Reorder the terms:
54.5 + -3x + 2x2 = -54.5 + 3x + 54.5 + -3x

Reorder the terms:
54.5 + -3x + 2x2 = -54.5 + 54.5 + 3x + -3x

Combine like terms: -54.5 + 54.5 = 0.0
54.5 + -3x + 2x2 = 0.0 + 3x + -3x
54.5 + -3x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
54.5 + -3x + 2x2 = 0

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

Divide each side by '2'.
27.25 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-27.25' to each side of the equation.
27.25 + -1.5x + -27.25 + x2 = 0 + -27.25

Reorder the terms:
27.25 + -27.25 + -1.5x + x2 = 0 + -27.25

Combine like terms: 27.25 + -27.25 = 0.00
0.00 + -1.5x + x2 = 0 + -27.25
-1.5x + x2 = 0 + -27.25

Combine like terms: 0 + -27.25 = -27.25
-1.5x + x2 = -27.25

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 = -27.25 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -27.25 + 0.5625

Combine like terms: -27.25 + 0.5625 = -26.6875
0.5625 + -1.5x + x2 = -26.6875

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -26.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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