-35x^2-56x-416=0

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Solution for -35x^2-56x-416=0 equation: 


Simplifying
-35x2 + -56x + -416 = 0

Reorder the terms:
-416 + -56x + -35x2 = 0

Solving
-416 + -56x + -35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(416 + 56x + 35x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(416 + 56x + 35x2)' equal to zero and attempt to solve:

Simplifying
416 + 56x + 35x2 = 0

Solving
416 + 56x + 35x2 = 0

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

Divide each side by '35'.
11.88571429 + 1.6x + x2 = 0

Move the constant term to the right:

Add '-11.88571429' to each side of the equation.
11.88571429 + 1.6x + -11.88571429 + x2 = 0 + -11.88571429

Reorder the terms:
11.88571429 + -11.88571429 + 1.6x + x2 = 0 + -11.88571429

Combine like terms: 11.88571429 + -11.88571429 = 0.00000000
0.00000000 + 1.6x + x2 = 0 + -11.88571429
1.6x + x2 = 0 + -11.88571429

Combine like terms: 0 + -11.88571429 = -11.88571429
1.6x + x2 = -11.88571429

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 = -11.88571429 + 0.64

Reorder the terms:
0.64 + 1.6x + x2 = -11.88571429 + 0.64

Combine like terms: -11.88571429 + 0.64 = -11.24571429
0.64 + 1.6x + x2 = -11.24571429

Factor a perfect square on the left side:
(x + 0.8)(x + 0.8) = -11.24571429

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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