8x^2-12x+29=3x-2

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Solution for 8x^2-12x+29=3x-2 equation: 


Simplifying
8x2 + -12x + 29 = 3x + -2

Reorder the terms:
29 + -12x + 8x2 = 3x + -2

Reorder the terms:
29 + -12x + 8x2 = -2 + 3x

Solving
29 + -12x + 8x2 = -2 + 3x

Solving for variable 'x'.

Reorder the terms:
29 + 2 + -12x + -3x + 8x2 = -2 + 3x + 2 + -3x

Combine like terms: 29 + 2 = 31
31 + -12x + -3x + 8x2 = -2 + 3x + 2 + -3x

Combine like terms: -12x + -3x = -15x
31 + -15x + 8x2 = -2 + 3x + 2 + -3x

Reorder the terms:
31 + -15x + 8x2 = -2 + 2 + 3x + -3x

Combine like terms: -2 + 2 = 0
31 + -15x + 8x2 = 0 + 3x + -3x
31 + -15x + 8x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
31 + -15x + 8x2 = 0

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

Divide each side by '8'.
3.875 + -1.875x + x2 = 0

Move the constant term to the right:

Add '-3.875' to each side of the equation.
3.875 + -1.875x + -3.875 + x2 = 0 + -3.875

Reorder the terms:
3.875 + -3.875 + -1.875x + x2 = 0 + -3.875

Combine like terms: 3.875 + -3.875 = 0.000
0.000 + -1.875x + x2 = 0 + -3.875
-1.875x + x2 = 0 + -3.875

Combine like terms: 0 + -3.875 = -3.875
-1.875x + x2 = -3.875

The x term is -1.875x.  Take half its coefficient (-0.9375).
Square it (0.87890625) and add it to both sides.

Add '0.87890625' to each side of the equation.
-1.875x + 0.87890625 + x2 = -3.875 + 0.87890625

Reorder the terms:
0.87890625 + -1.875x + x2 = -3.875 + 0.87890625

Combine like terms: -3.875 + 0.87890625 = -2.99609375
0.87890625 + -1.875x + x2 = -2.99609375

Factor a perfect square on the left side:
(x + -0.9375)(x + -0.9375) = -2.99609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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