8x^2-19x+18=-6x+2

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Solution for 8x^2-19x+18=-6x+2 equation: 


Simplifying
8x2 + -19x + 18 = -6x + 2

Reorder the terms:
18 + -19x + 8x2 = -6x + 2

Reorder the terms:
18 + -19x + 8x2 = 2 + -6x

Solving
18 + -19x + 8x2 = 2 + -6x

Solving for variable 'x'.

Reorder the terms:
18 + -2 + -19x + 6x + 8x2 = 2 + -6x + -2 + 6x

Combine like terms: 18 + -2 = 16
16 + -19x + 6x + 8x2 = 2 + -6x + -2 + 6x

Combine like terms: -19x + 6x = -13x
16 + -13x + 8x2 = 2 + -6x + -2 + 6x

Reorder the terms:
16 + -13x + 8x2 = 2 + -2 + -6x + 6x

Combine like terms: 2 + -2 = 0
16 + -13x + 8x2 = 0 + -6x + 6x
16 + -13x + 8x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
16 + -13x + 8x2 = 0

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

Divide each side by '8'.
2 + -1.625x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.625x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1.625x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.625x + x2 = 0 + -2
-1.625x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.625x + x2 = -2

The x term is -1.625x.  Take half its coefficient (-0.8125).
Square it (0.66015625) and add it to both sides.

Add '0.66015625' to each side of the equation.
-1.625x + 0.66015625 + x2 = -2 + 0.66015625

Reorder the terms:
0.66015625 + -1.625x + x2 = -2 + 0.66015625

Combine like terms: -2 + 0.66015625 = -1.33984375
0.66015625 + -1.625x + x2 = -1.33984375

Factor a perfect square on the left side:
(x + -0.8125)(x + -0.8125) = -1.33984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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