-25x^2-14x-9=0

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Solution for -25x^2-14x-9=0 equation: 


Simplifying
-25x2 + -14x + -9 = 0

Reorder the terms:
-9 + -14x + -25x2 = 0

Solving
-9 + -14x + -25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 14x + 25x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(9 + 14x + 25x2)' equal to zero and attempt to solve:

Simplifying
9 + 14x + 25x2 = 0

Solving
9 + 14x + 25x2 = 0

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

Divide each side by '25'.
0.36 + 0.56x + x2 = 0

Move the constant term to the right:

Add '-0.36' to each side of the equation.
0.36 + 0.56x + -0.36 + x2 = 0 + -0.36

Reorder the terms:
0.36 + -0.36 + 0.56x + x2 = 0 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + 0.56x + x2 = 0 + -0.36
0.56x + x2 = 0 + -0.36

Combine like terms: 0 + -0.36 = -0.36
0.56x + x2 = -0.36

The x term is 0.56x.  Take half its coefficient (0.28).
Square it (0.0784) and add it to both sides.

Add '0.0784' to each side of the equation.
0.56x + 0.0784 + x2 = -0.36 + 0.0784

Reorder the terms:
0.0784 + 0.56x + x2 = -0.36 + 0.0784

Combine like terms: -0.36 + 0.0784 = -0.2816
0.0784 + 0.56x + x2 = -0.2816

Factor a perfect square on the left side:
(x + 0.28)(x + 0.28) = -0.2816

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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