-5x^2-2x-9=-4

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Solution for -5x^2-2x-9=-4 equation: 


Simplifying
-5x2 + -2x + -9 = -4

Reorder the terms:
-9 + -2x + -5x2 = -4

Solving
-9 + -2x + -5x2 = -4

Solving for variable 'x'.

Reorder the terms:
-9 + 4 + -2x + -5x2 = -4 + 4

Combine like terms: -9 + 4 = -5
-5 + -2x + -5x2 = -4 + 4

Combine like terms: -4 + 4 = 0
-5 + -2x + -5x2 = 0

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

Ignore the factor -1.

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

Simplifying
5 + 2x + 5x2 = 0

Solving
5 + 2x + 5x2 = 0

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

Divide each side by '5'.
1 + 0.4x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.4x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 0.4x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.4x + x2 = 0 + -1
0.4x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.4x + x2 = -1

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = -1 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = -1 + 0.04

Combine like terms: -1 + 0.04 = -0.96
0.04 + 0.4x + x2 = -0.96

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = -0.96

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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