1588=-x^2-4x-8

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Solution for 1588=-x^2-4x-8 equation:


Simplifying
1588 = -1x2 + -4x + -8

Reorder the terms:
1588 = -8 + -4x + -1x2

Solving
1588 = -8 + -4x + -1x2

Solving for variable 'x'.

Combine like terms: 1588 + 8 = 1596
1596 + 4x + x2 = -8 + -4x + -1x2 + 8 + 4x + x2

Reorder the terms:
1596 + 4x + x2 = -8 + 8 + -4x + 4x + -1x2 + x2

Combine like terms: -8 + 8 = 0
1596 + 4x + x2 = 0 + -4x + 4x + -1x2 + x2
1596 + 4x + x2 = -4x + 4x + -1x2 + x2

Combine like terms: -4x + 4x = 0
1596 + 4x + x2 = 0 + -1x2 + x2
1596 + 4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1596 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1596' to each side of the equation.
1596 + 4x + -1596 + x2 = 0 + -1596

Reorder the terms:
1596 + -1596 + 4x + x2 = 0 + -1596

Combine like terms: 1596 + -1596 = 0
0 + 4x + x2 = 0 + -1596
4x + x2 = 0 + -1596

Combine like terms: 0 + -1596 = -1596
4x + x2 = -1596

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -1596 + 4

Reorder the terms:
4 + 4x + x2 = -1596 + 4

Combine like terms: -1596 + 4 = -1592
4 + 4x + x2 = -1592

Factor a perfect square on the left side:
(x + 2)(x + 2) = -1592

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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