35x^2+15x+78=0

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Solution for 35x^2+15x+78=0 equation: 


Simplifying
35x2 + 15x + 78 = 0

Reorder the terms:
78 + 15x + 35x2 = 0

Solving
78 + 15x + 35x2 = 0

Solving for variable 'x'.

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

Divide each side by '35'.
2.228571429 + 0.4285714286x + x2 = 0

Move the constant term to the right:

Add '-2.228571429' to each side of the equation.
2.228571429 + 0.4285714286x + -2.228571429 + x2 = 0 + -2.228571429

Reorder the terms:
2.228571429 + -2.228571429 + 0.4285714286x + x2 = 0 + -2.228571429

Combine like terms: 2.228571429 + -2.228571429 = 0.000000000
0.000000000 + 0.4285714286x + x2 = 0 + -2.228571429
0.4285714286x + x2 = 0 + -2.228571429

Combine like terms: 0 + -2.228571429 = -2.228571429
0.4285714286x + x2 = -2.228571429

The x term is 0.4285714286x.  Take half its coefficient (0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
0.4285714286x + 0.04591836735 + x2 = -2.228571429 + 0.04591836735

Reorder the terms:
0.04591836735 + 0.4285714286x + x2 = -2.228571429 + 0.04591836735

Combine like terms: -2.228571429 + 0.04591836735 = -2.18265306165
0.04591836735 + 0.4285714286x + x2 = -2.18265306165

Factor a perfect square on the left side:
(x + 0.2142857143)(x + 0.2142857143) = -2.18265306165

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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