0=2x^2+3x+2.25

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Solution for 0=2x^2+3x+2.25 equation: 


Simplifying
0 = 2x2 + 3x + 2.25

Reorder the terms:
0 = 2.25 + 3x + 2x2

Solving
0 = 2.25 + 3x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -2.25 = -2.25
-2.25 + -3x + -2x2 = 2.25 + 3x + 2x2 + -2.25 + -3x + -2x2

Reorder the terms:
-2.25 + -3x + -2x2 = 2.25 + -2.25 + 3x + -3x + 2x2 + -2x2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + -3x + -2x2 = 0.00 + 3x + -3x + 2x2 + -2x2
-2.25 + -3x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
-2.25 + -3x + -2x2 = 0 + 2x2 + -2x2
-2.25 + -3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2.25 + -3x + -2x2 = 0

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

Divide each side by '-2'.
1.125 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + 1.5x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + 1.5x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + 1.5x + x2 = 0 + -1.125
1.5x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
1.5x + x2 = -1.125

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 = -1.125 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -1.125 + 0.5625

Combine like terms: -1.125 + 0.5625 = -0.5625
0.5625 + 1.5x + x2 = -0.5625

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -0.5625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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