79x^2+84x+35=0

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Solution for 79x^2+84x+35=0 equation:


Simplifying
79x2 + 84x + 35 = 0

Reorder the terms:
35 + 84x + 79x2 = 0

Solving
35 + 84x + 79x2 = 0

Solving for variable 'x'.

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

Divide each side by '79'.
0.4430379747 + 1.063291139x + x2 = 0

Move the constant term to the right:

Add '-0.4430379747' to each side of the equation.
0.4430379747 + 1.063291139x + -0.4430379747 + x2 = 0 + -0.4430379747

Reorder the terms:
0.4430379747 + -0.4430379747 + 1.063291139x + x2 = 0 + -0.4430379747

Combine like terms: 0.4430379747 + -0.4430379747 = 0.0000000000
0.0000000000 + 1.063291139x + x2 = 0 + -0.4430379747
1.063291139x + x2 = 0 + -0.4430379747

Combine like terms: 0 + -0.4430379747 = -0.4430379747
1.063291139x + x2 = -0.4430379747

The x term is 1.063291139x.  Take half its coefficient (0.5316455695).
Square it (0.2826470116) and add it to both sides.

Add '0.2826470116' to each side of the equation.
1.063291139x + 0.2826470116 + x2 = -0.4430379747 + 0.2826470116

Reorder the terms:
0.2826470116 + 1.063291139x + x2 = -0.4430379747 + 0.2826470116

Combine like terms: -0.4430379747 + 0.2826470116 = -0.1603909631
0.2826470116 + 1.063291139x + x2 = -0.1603909631

Factor a perfect square on the left side:
(x + 0.5316455695)(x + 0.5316455695) = -0.1603909631

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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