8x^2+24+19=10-8x

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Solution for 8x^2+24+19=10-8x equation: 


Simplifying
8x2 + 24 + 19 = 10 + -8x

Reorder the terms:
24 + 19 + 8x2 = 10 + -8x

Combine like terms: 24 + 19 = 43
43 + 8x2 = 10 + -8x

Solving
43 + 8x2 = 10 + -8x

Solving for variable 'x'.

Reorder the terms:
43 + -10 + 8x + 8x2 = 10 + -8x + -10 + 8x

Combine like terms: 43 + -10 = 33
33 + 8x + 8x2 = 10 + -8x + -10 + 8x

Reorder the terms:
33 + 8x + 8x2 = 10 + -10 + -8x + 8x

Combine like terms: 10 + -10 = 0
33 + 8x + 8x2 = 0 + -8x + 8x
33 + 8x + 8x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
33 + 8x + 8x2 = 0

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

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

Move the constant term to the right:

Add '-4.125' to each side of the equation.
4.125 + x + -4.125 + x2 = 0 + -4.125

Reorder the terms:
4.125 + -4.125 + x + x2 = 0 + -4.125

Combine like terms: 4.125 + -4.125 = 0.000
0.000 + x + x2 = 0 + -4.125
x + x2 = 0 + -4.125

Combine like terms: 0 + -4.125 = -4.125
x + x2 = -4.125

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

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -4.125 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -4.125 + 0.25

Combine like terms: -4.125 + 0.25 = -3.875
1.25 + x2 = -3.875

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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