23x^2+30x+117=0

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Solution for 23x^2+30x+117=0 equation: 


Simplifying
23x2 + 30x + 117 = 0

Reorder the terms:
117 + 30x + 23x2 = 0

Solving
117 + 30x + 23x2 = 0

Solving for variable 'x'.

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

Divide each side by '23'.
5.086956522 + 1.304347826x + x2 = 0

Move the constant term to the right:

Add '-5.086956522' to each side of the equation.
5.086956522 + 1.304347826x + -5.086956522 + x2 = 0 + -5.086956522

Reorder the terms:
5.086956522 + -5.086956522 + 1.304347826x + x2 = 0 + -5.086956522

Combine like terms: 5.086956522 + -5.086956522 = 0.000000000
0.000000000 + 1.304347826x + x2 = 0 + -5.086956522
1.304347826x + x2 = 0 + -5.086956522

Combine like terms: 0 + -5.086956522 = -5.086956522
1.304347826x + x2 = -5.086956522

The x term is 1.304347826x.  Take half its coefficient (0.652173913).
Square it (0.4253308128) and add it to both sides.

Add '0.4253308128' to each side of the equation.
1.304347826x + 0.4253308128 + x2 = -5.086956522 + 0.4253308128

Reorder the terms:
0.4253308128 + 1.304347826x + x2 = -5.086956522 + 0.4253308128

Combine like terms: -5.086956522 + 0.4253308128 = -4.6616257092
0.4253308128 + 1.304347826x + x2 = -4.6616257092

Factor a perfect square on the left side:
(x + 0.652173913)(x + 0.652173913) = -4.6616257092

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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