(6x^2-9x+4)-(8x-12)=

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Solution for (6x^2-9x+4)-(8x-12)= equation: 


Simplifying
(6x2 + -9x + 4) + -1(8x + -12) = 0

Reorder the terms:
(4 + -9x + 6x2) + -1(8x + -12) = 0

Remove parenthesis around (4 + -9x + 6x2)
4 + -9x + 6x2 + -1(8x + -12) = 0

Reorder the terms:
4 + -9x + 6x2 + -1(-12 + 8x) = 0
4 + -9x + 6x2 + (-12 * -1 + 8x * -1) = 0
4 + -9x + 6x2 + (12 + -8x) = 0

Reorder the terms:
4 + 12 + -9x + -8x + 6x2 = 0

Combine like terms: 4 + 12 = 16
16 + -9x + -8x + 6x2 = 0

Combine like terms: -9x + -8x = -17x
16 + -17x + 6x2 = 0

Solving
16 + -17x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
2.666666667 + -2.833333333x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.833333333x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -2.833333333x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -2.833333333x + x2 = 0 + -2.666666667
-2.833333333x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-2.833333333x + x2 = -2.666666667

The x term is -2.833333333x.  Take half its coefficient (-1.416666667).
Square it (2.006944445) and add it to both sides.

Add '2.006944445' to each side of the equation.
-2.833333333x + 2.006944445 + x2 = -2.666666667 + 2.006944445

Reorder the terms:
2.006944445 + -2.833333333x + x2 = -2.666666667 + 2.006944445

Combine like terms: -2.666666667 + 2.006944445 = -0.659722222
2.006944445 + -2.833333333x + x2 = -0.659722222

Factor a perfect square on the left side:
(x + -1.416666667)(x + -1.416666667) = -0.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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