0=2x^2-3x+5

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Solution for 0=2x^2-3x+5 equation:


Simplifying
0 = 2x2 + -3x + 5

Reorder the terms:
0 = 5 + -3x + 2x2

Solving
0 = 5 + -3x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -5 = -5
-5 + 3x + -2x2 = 5 + -3x + 2x2 + -5 + 3x + -2x2

Reorder the terms:
-5 + 3x + -2x2 = 5 + -5 + -3x + 3x + 2x2 + -2x2

Combine like terms: 5 + -5 = 0
-5 + 3x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2
-5 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
-5 + 3x + -2x2 = 0 + 2x2 + -2x2
-5 + 3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 + 3x + -2x2 = 0

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

Divide each side by '-2'.
2.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1.5x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1.5x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.5x + x2 = 0 + -2.5
-1.5x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1.5x + x2 = -2.5

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 = -2.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -2.5 + 0.5625

Combine like terms: -2.5 + 0.5625 = -1.9375
0.5625 + -1.5x + x2 = -1.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -1.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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