(4x^2-6x+12)-(x^2+3x-11)=

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Solution for (4x^2-6x+12)-(x^2+3x-11)= equation: 


Simplifying
(4x2 + -6x + 12) + -1(x2 + 3x + -11) = 0

Reorder the terms:
(12 + -6x + 4x2) + -1(x2 + 3x + -11) = 0

Remove parenthesis around (12 + -6x + 4x2)
12 + -6x + 4x2 + -1(x2 + 3x + -11) = 0

Reorder the terms:
12 + -6x + 4x2 + -1(-11 + 3x + x2) = 0
12 + -6x + 4x2 + (-11 * -1 + 3x * -1 + x2 * -1) = 0
12 + -6x + 4x2 + (11 + -3x + -1x2) = 0

Reorder the terms:
12 + 11 + -6x + -3x + 4x2 + -1x2 = 0

Combine like terms: 12 + 11 = 23
23 + -6x + -3x + 4x2 + -1x2 = 0

Combine like terms: -6x + -3x = -9x
23 + -9x + 4x2 + -1x2 = 0

Combine like terms: 4x2 + -1x2 = 3x2
23 + -9x + 3x2 = 0

Solving
23 + -9x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
7.666666667 + -3x + x2 = 0

Move the constant term to the right:

Add '-7.666666667' to each side of the equation.
7.666666667 + -3x + -7.666666667 + x2 = 0 + -7.666666667

Reorder the terms:
7.666666667 + -7.666666667 + -3x + x2 = 0 + -7.666666667

Combine like terms: 7.666666667 + -7.666666667 = 0.000000000
0.000000000 + -3x + x2 = 0 + -7.666666667
-3x + x2 = 0 + -7.666666667

Combine like terms: 0 + -7.666666667 = -7.666666667
-3x + x2 = -7.666666667

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -7.666666667 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -7.666666667 + 2.25

Combine like terms: -7.666666667 + 2.25 = -5.416666667
2.25 + -3x + x2 = -5.416666667

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -5.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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