5X^2+3X+32=0

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Solution for 5X^2+3X+32=0 equation:


Simplifying
5X2 + 3X + 32 = 0

Reorder the terms:
32 + 3X + 5X2 = 0

Solving
32 + 3X + 5X2 = 0

Solving for variable 'X'.

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

Divide each side by '5'.
6.4 + 0.6X + X2 = 0

Move the constant term to the right:

Add '-6.4' to each side of the equation.
6.4 + 0.6X + -6.4 + X2 = 0 + -6.4

Reorder the terms:
6.4 + -6.4 + 0.6X + X2 = 0 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 0.6X + X2 = 0 + -6.4
0.6X + X2 = 0 + -6.4

Combine like terms: 0 + -6.4 = -6.4
0.6X + X2 = -6.4

The X term is 0.6X.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6X + 0.09 + X2 = -6.4 + 0.09

Reorder the terms:
0.09 + 0.6X + X2 = -6.4 + 0.09

Combine like terms: -6.4 + 0.09 = -6.31
0.09 + 0.6X + X2 = -6.31

Factor a perfect square on the left side:
(X + 0.3)(X + 0.3) = -6.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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