(6x^2-3x+9)-(x^2+3x-5)=

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Solution for (6x^2-3x+9)-(x^2+3x-5)= equation: 


Simplifying
(6x2 + -3x + 9) + -1(x2 + 3x + -5) = 0

Reorder the terms:
(9 + -3x + 6x2) + -1(x2 + 3x + -5) = 0

Remove parenthesis around (9 + -3x + 6x2)
9 + -3x + 6x2 + -1(x2 + 3x + -5) = 0

Reorder the terms:
9 + -3x + 6x2 + -1(-5 + 3x + x2) = 0
9 + -3x + 6x2 + (-5 * -1 + 3x * -1 + x2 * -1) = 0
9 + -3x + 6x2 + (5 + -3x + -1x2) = 0

Reorder the terms:
9 + 5 + -3x + -3x + 6x2 + -1x2 = 0

Combine like terms: 9 + 5 = 14
14 + -3x + -3x + 6x2 + -1x2 = 0

Combine like terms: -3x + -3x = -6x
14 + -6x + 6x2 + -1x2 = 0

Combine like terms: 6x2 + -1x2 = 5x2
14 + -6x + 5x2 = 0

Solving
14 + -6x + 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'.
2.8 + -1.2x + x2 = 0

Move the constant term to the right:

Add '-2.8' to each side of the equation.
2.8 + -1.2x + -2.8 + x2 = 0 + -2.8

Reorder the terms:
2.8 + -2.8 + -1.2x + x2 = 0 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -1.2x + x2 = 0 + -2.8
-1.2x + x2 = 0 + -2.8

Combine like terms: 0 + -2.8 = -2.8
-1.2x + x2 = -2.8

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -2.8 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -2.8 + 0.36

Combine like terms: -2.8 + 0.36 = -2.44
0.36 + -1.2x + x2 = -2.44

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -2.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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