10x^2+23x+120=0

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Solution for 10x^2+23x+120=0 equation:


Simplifying
10x2 + 23x + 120 = 0

Reorder the terms:
120 + 23x + 10x2 = 0

Solving
120 + 23x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
12 + 2.3x + x2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 2.3x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 2.3x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 2.3x + x2 = 0 + -12
2.3x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
2.3x + x2 = -12

The x term is 2.3x.  Take half its coefficient (1.15).
Square it (1.3225) and add it to both sides.

Add '1.3225' to each side of the equation.
2.3x + 1.3225 + x2 = -12 + 1.3225

Reorder the terms:
1.3225 + 2.3x + x2 = -12 + 1.3225

Combine like terms: -12 + 1.3225 = -10.6775
1.3225 + 2.3x + x2 = -10.6775

Factor a perfect square on the left side:
(x + 1.15)(x + 1.15) = -10.6775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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