12x^2+23x+30=0

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Solution for 12x^2+23x+30=0 equation:


Simplifying
12x2 + 23x + 30 = 0

Reorder the terms:
30 + 23x + 12x2 = 0

Solving
30 + 23x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
2.5 + 1.916666667x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 1.916666667x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 1.916666667x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 1.916666667x + x2 = 0 + -2.5
1.916666667x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
1.916666667x + x2 = -2.5

The x term is 1.916666667x.  Take half its coefficient (0.9583333335).
Square it (0.9184027781) and add it to both sides.

Add '0.9184027781' to each side of the equation.
1.916666667x + 0.9184027781 + x2 = -2.5 + 0.9184027781

Reorder the terms:
0.9184027781 + 1.916666667x + x2 = -2.5 + 0.9184027781

Combine like terms: -2.5 + 0.9184027781 = -1.5815972219
0.9184027781 + 1.916666667x + x2 = -1.5815972219

Factor a perfect square on the left side:
(x + 0.9583333335)(x + 0.9583333335) = -1.5815972219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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