=8(-x^2)+6(-x)-5

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Solution for =8(-x^2)+6(-x)-5 equation:


Simplifying
0 = 8(-1x2) + 6(-1x) + -5

Remove parenthesis around (-1x2)
0 = 8 * -1x2 + 6(-1x) + -5

Multiply 8 * -1
0 = -8x2 + 6(-1x) + -5

Remove parenthesis around (-1x)
0 = -8x2 + 6 * -1x + -5

Multiply 6 * -1
0 = -8x2 + -6x + -5

Reorder the terms:
0 = -5 + -6x + -8x2

Solving
0 = -5 + -6x + -8x2

Solving for variable 'x'.

Combine like terms: 0 + 5 = 5
5 + 6x + 8x2 = -5 + -6x + -8x2 + 5 + 6x + 8x2

Reorder the terms:
5 + 6x + 8x2 = -5 + 5 + -6x + 6x + -8x2 + 8x2

Combine like terms: -5 + 5 = 0
5 + 6x + 8x2 = 0 + -6x + 6x + -8x2 + 8x2
5 + 6x + 8x2 = -6x + 6x + -8x2 + 8x2

Combine like terms: -6x + 6x = 0
5 + 6x + 8x2 = 0 + -8x2 + 8x2
5 + 6x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
5 + 6x + 8x2 = 0

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

Divide each side by '8'.
0.625 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 0.75x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 0.75x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.75x + x2 = 0 + -0.625
0.75x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
0.75x + x2 = -0.625

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -0.625 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -0.625 + 0.140625

Combine like terms: -0.625 + 0.140625 = -0.484375
0.140625 + 0.75x + x2 = -0.484375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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