(6x^2-9x+8)-(5-6x+x^2)=

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Solution for (6x^2-9x+8)-(5-6x+x^2)= equation: 


Simplifying
(6x2 + -9x + 8) + -1(5 + -6x + x2) = 0

Reorder the terms:
(8 + -9x + 6x2) + -1(5 + -6x + x2) = 0

Remove parenthesis around (8 + -9x + 6x2)
8 + -9x + 6x2 + -1(5 + -6x + x2) = 0
8 + -9x + 6x2 + (5 * -1 + -6x * -1 + x2 * -1) = 0
8 + -9x + 6x2 + (-5 + 6x + -1x2) = 0

Reorder the terms:
8 + -5 + -9x + 6x + 6x2 + -1x2 = 0

Combine like terms: 8 + -5 = 3
3 + -9x + 6x + 6x2 + -1x2 = 0

Combine like terms: -9x + 6x = -3x
3 + -3x + 6x2 + -1x2 = 0

Combine like terms: 6x2 + -1x2 = 5x2
3 + -3x + 5x2 = 0

Solving
3 + -3x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
0.6 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.6x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.6x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.6x + x2 = 0 + -0.6
-0.6x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.6x + x2 = -0.6

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.6 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.6 + 0.09

Combine like terms: -0.6 + 0.09 = -0.51
0.09 + -0.6x + x2 = -0.51

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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