75x^2+120x+86=0

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Solution for 75x^2+120x+86=0 equation:


Simplifying
75x2 + 120x + 86 = 0

Reorder the terms:
86 + 120x + 75x2 = 0

Solving
86 + 120x + 75x2 = 0

Solving for variable 'x'.

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

Divide each side by '75'.
1.146666667 + 1.6x + x2 = 0

Move the constant term to the right:

Add '-1.146666667' to each side of the equation.
1.146666667 + 1.6x + -1.146666667 + x2 = 0 + -1.146666667

Reorder the terms:
1.146666667 + -1.146666667 + 1.6x + x2 = 0 + -1.146666667

Combine like terms: 1.146666667 + -1.146666667 = 0.000000000
0.000000000 + 1.6x + x2 = 0 + -1.146666667
1.6x + x2 = 0 + -1.146666667

Combine like terms: 0 + -1.146666667 = -1.146666667
1.6x + x2 = -1.146666667

The x term is 1.6x.  Take half its coefficient (0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
1.6x + 0.64 + x2 = -1.146666667 + 0.64

Reorder the terms:
0.64 + 1.6x + x2 = -1.146666667 + 0.64

Combine like terms: -1.146666667 + 0.64 = -0.506666667
0.64 + 1.6x + x2 = -0.506666667

Factor a perfect square on the left side:
(x + 0.8)(x + 0.8) = -0.506666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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