8x^2=22x-21

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Solution for 8x^2=22x-21 equation:


Simplifying
8x2 = 22x + -21

Reorder the terms:
8x2 = -21 + 22x

Solving
8x2 = -21 + 22x

Solving for variable 'x'.

Reorder the terms:
21 + -22x + 8x2 = -21 + 22x + 21 + -22x

Reorder the terms:
21 + -22x + 8x2 = -21 + 21 + 22x + -22x

Combine like terms: -21 + 21 = 0
21 + -22x + 8x2 = 0 + 22x + -22x
21 + -22x + 8x2 = 22x + -22x

Combine like terms: 22x + -22x = 0
21 + -22x + 8x2 = 0

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

Divide each side by '8'.
2.625 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-2.625' to each side of the equation.
2.625 + -2.75x + -2.625 + x2 = 0 + -2.625

Reorder the terms:
2.625 + -2.625 + -2.75x + x2 = 0 + -2.625

Combine like terms: 2.625 + -2.625 = 0.000
0.000 + -2.75x + x2 = 0 + -2.625
-2.75x + x2 = 0 + -2.625

Combine like terms: 0 + -2.625 = -2.625
-2.75x + x2 = -2.625

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -2.625 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -2.625 + 1.890625

Combine like terms: -2.625 + 1.890625 = -0.734375
1.890625 + -2.75x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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