-2x^2-5x-8=0

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Solution for -2x^2-5x-8=0 equation: 


Simplifying
-2x2 + -5x + -8 = 0

Reorder the terms:
-8 + -5x + -2x2 = 0

Solving
-8 + -5x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 5x + 2x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + 5x + 2x2)' equal to zero and attempt to solve:

Simplifying
8 + 5x + 2x2 = 0

Solving
8 + 5x + 2x2 = 0

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

Divide each side by '2'.
4 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 2.5x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 2.5x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2.5x + x2 = 0 + -4
2.5x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
2.5x + x2 = -4

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = -4 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -4 + 1.5625

Combine like terms: -4 + 1.5625 = -2.4375
1.5625 + 2.5x + x2 = -2.4375

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -2.4375

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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