-25x^2-5x-2=0

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Solution for -25x^2-5x-2=0 equation: 


Simplifying
-25x2 + -5x + -2 = 0

Reorder the terms:
-2 + -5x + -25x2 = 0

Solving
-2 + -5x + -25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 5x + 25x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(2 + 5x + 25x2)' equal to zero and attempt to solve:

Simplifying
2 + 5x + 25x2 = 0

Solving
2 + 5x + 25x2 = 0

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

Divide each side by '25'.
0.08 + 0.2x + x2 = 0

Move the constant term to the right:

Add '-0.08' to each side of the equation.
0.08 + 0.2x + -0.08 + x2 = 0 + -0.08

Reorder the terms:
0.08 + -0.08 + 0.2x + x2 = 0 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + 0.2x + x2 = 0 + -0.08
0.2x + x2 = 0 + -0.08

Combine like terms: 0 + -0.08 = -0.08
0.2x + x2 = -0.08

The x term is 0.2x.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2x + 0.01 + x2 = -0.08 + 0.01

Reorder the terms:
0.01 + 0.2x + x2 = -0.08 + 0.01

Combine like terms: -0.08 + 0.01 = -0.07
0.01 + 0.2x + x2 = -0.07

Factor a perfect square on the left side:
(x + 0.1)(x + 0.1) = -0.07

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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