-7x^2-5x-2=0

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Solution for -7x^2-5x-2=0 equation: 


Simplifying
-7x2 + -5x + -2 = 0

Reorder the terms:
-2 + -5x + -7x2 = 0

Solving
-2 + -5x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 5x + 7x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(2 + 5x + 7x2)' equal to zero and attempt to solve:

Simplifying
2 + 5x + 7x2 = 0

Solving
2 + 5x + 7x2 = 0

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

Divide each side by '7'.
0.2857142857 + 0.7142857143x + x2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + 0.7142857143x + -0.2857142857 + x2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + 0.7142857143x + x2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + 0.7142857143x + x2 = 0 + -0.2857142857
0.7142857143x + x2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
0.7142857143x + x2 = -0.2857142857

The x term is 0.7142857143x.  Take half its coefficient (0.3571428572).
Square it (0.1275510204) and add it to both sides.

Add '0.1275510204' to each side of the equation.
0.7142857143x + 0.1275510204 + x2 = -0.2857142857 + 0.1275510204

Reorder the terms:
0.1275510204 + 0.7142857143x + x2 = -0.2857142857 + 0.1275510204

Combine like terms: -0.2857142857 + 0.1275510204 = -0.1581632653
0.1275510204 + 0.7142857143x + x2 = -0.1581632653

Factor a perfect square on the left side:
(x + 0.3571428572)(x + 0.3571428572) = -0.1581632653

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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