2x^2-3x+36=0

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Solution for 2x^2-3x+36=0 equation:


Simplifying
2x2 + -3x + 36 = 0

Reorder the terms:
36 + -3x + 2x2 = 0

Solving
36 + -3x + 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'.
18 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -1.5x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + -1.5x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1.5x + x2 = 0 + -18
-1.5x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-1.5x + x2 = -18

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 = -18 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -18 + 0.5625

Combine like terms: -18 + 0.5625 = -17.4375
0.5625 + -1.5x + x2 = -17.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -17.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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