1.5x^2+12.5x+28=0

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Solution for 1.5x^2+12.5x+28=0 equation: 


Simplifying
1.5x2 + 12.5x + 28 = 0

Reorder the terms:
28 + 12.5x + 1.5x2 = 0

Solving
28 + 12.5x + 1.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '1.5'.
18.66666667 + 8.333333333x + x2 = 0

Move the constant term to the right:

Add '-18.66666667' to each side of the equation.
18.66666667 + 8.333333333x + -18.66666667 + x2 = 0 + -18.66666667

Reorder the terms:
18.66666667 + -18.66666667 + 8.333333333x + x2 = 0 + -18.66666667

Combine like terms: 18.66666667 + -18.66666667 = 0.00000000
0.00000000 + 8.333333333x + x2 = 0 + -18.66666667
8.333333333x + x2 = 0 + -18.66666667

Combine like terms: 0 + -18.66666667 = -18.66666667
8.333333333x + x2 = -18.66666667

The x term is 8.333333333x.  Take half its coefficient (4.166666667).
Square it (17.36111111) and add it to both sides.

Add '17.36111111' to each side of the equation.
8.333333333x + 17.36111111 + x2 = -18.66666667 + 17.36111111

Reorder the terms:
17.36111111 + 8.333333333x + x2 = -18.66666667 + 17.36111111

Combine like terms: -18.66666667 + 17.36111111 = -1.30555556
17.36111111 + 8.333333333x + x2 = -1.30555556

Factor a perfect square on the left side:
(x + 4.166666667)(x + 4.166666667) = -1.30555556

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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