-5x^2-8x-324=0

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Solution for -5x^2-8x-324=0 equation: 


Simplifying
-5x2 + -8x + -324 = 0

Reorder the terms:
-324 + -8x + -5x2 = 0

Solving
-324 + -8x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(324 + 8x + 5x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(324 + 8x + 5x2)' equal to zero and attempt to solve:

Simplifying
324 + 8x + 5x2 = 0

Solving
324 + 8x + 5x2 = 0

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

Divide each side by '5'.
64.8 + 1.6x + x2 = 0

Move the constant term to the right:

Add '-64.8' to each side of the equation.
64.8 + 1.6x + -64.8 + x2 = 0 + -64.8

Reorder the terms:
64.8 + -64.8 + 1.6x + x2 = 0 + -64.8

Combine like terms: 64.8 + -64.8 = 0.0
0.0 + 1.6x + x2 = 0 + -64.8
1.6x + x2 = 0 + -64.8

Combine like terms: 0 + -64.8 = -64.8
1.6x + x2 = -64.8

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 = -64.8 + 0.64

Reorder the terms:
0.64 + 1.6x + x2 = -64.8 + 0.64

Combine like terms: -64.8 + 0.64 = -64.16
0.64 + 1.6x + x2 = -64.16

Factor a perfect square on the left side:
(x + 0.8)(x + 0.8) = -64.16

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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