8x^2-x=-8

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


Simplifying
8x2 + -1x = -8

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

Solving
-1x + 8x2 = -8

Solving for variable 'x'.

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

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

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

Divide each side by '8'.
1 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.125x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.125x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.125x + x2 = 0 + -1
-0.125x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.125x + x2 = -1

The x term is -0.125x.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125x + 0.00390625 + x2 = -1 + 0.00390625

Reorder the terms:
0.00390625 + -0.125x + x2 = -1 + 0.00390625

Combine like terms: -1 + 0.00390625 = -0.99609375
0.00390625 + -0.125x + x2 = -0.99609375

Factor a perfect square on the left side:
(x + -0.0625)(x + -0.0625) = -0.99609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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