(X*x*x)-(5-x)-8=0

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Solution for (X*x*x)-(5-x)-8=0 equation:


Simplifying
(X * x * x) + -1(5 + -1x) + -8 = 0

Multiply X * x
(xX * x) + -1(5 + -1x) + -8 = 0

Multiply xX * x
(x2X) + -1(5 + -1x) + -8 = 0
x2X + -1(5 + -1x) + -8 = 0
x2X + (5 * -1 + -1x * -1) + -8 = 0
x2X + (-5 + 1x) + -8 = 0

Reorder the terms:
-5 + -8 + 1x + x2X = 0

Combine like terms: -5 + -8 = -13
-13 + 1x + x2X = 0

Solving
-13 + 1x + x2X = 0

Solving for variable 'x'.

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

Divide each side by 'X'.
-13X-1 + xX-1 + x2 = 0X-1

Move the constant term to the right:

Add '13' to each side of the equation.
-13X-1 + xX-1 + 13 + x2 = 13 + 0X-1

Reorder the terms:
13 + -13X-1 + xX-1 + x2 = 13 + 0X-1

Combine like terms: 13 + 0 = 13
13 + -13X-1 + xX-1 + x2 = 13

The x term is xX-1.  Take half its coefficient (0.5X-1).
Square it (0.25X-2) and add it to both sides.

Add '0.25X-2' to each side of the equation.
13 + -13X-1 + X-2 + 0.25X-2 + x2 = 13 + 0.25X-2

Reorder the terms:
13 + X-2 + 0.25X-2 + -13X-1 + x2 = 13 + 0.25X-2

Combine like terms: X-2 + 0.25X-2 = 1.25X-2
13 + 1.25X-2 + -13X-1 + x2 = 13 + 0.25X-2

Factor a perfect square on the left side:
(x + 0.5X-1)(x + 0.5X-1) = 13 + 0.25X-2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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