What is 2x^2+(4x-6x^2)+9-(6x+3) ?

The solution to 2x^2+(4x-6x^2)+9-(6x+3) is -4x^2-2x+6

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simplify 2x^2+(4x-6x^2)+9-(6x+3)

simplify

2 x^{2} + (4 x - 6 x^{2}) + 9 - (6 x + 3)

- 4 x^{2} - 2 x + 6

Solution steps

2 x^{2} + (4 x - 6 x^{2}) + 9 - (6 x + 3)

Apply rule:

a + (b + c) = a + b + c

2 x^{2} + (4 x - 6 x^{2}) = 2 x^{2} + 4 x - 6 x^{2}

= 2 x^{2} + 4 x - 6 x^{2} + 9 - (6 x + 3)

Group like terms

= - (6 x + 3) + 2 x^{2} - 6 x^{2} + 4 x + 9

Add similar elements:

2 x^{2} - 6 x^{2} = - 4 x^{2}

= - (6 x + 3) - 4 x^{2} + 4 x + 9

Apply the distributive law:

- (a + b) = - a - b

- (6 x + 3) = - 6 x - 3

= - 6 x - 3 - 4 x^{2} + 4 x + 9

Group like terms

= - 4 x^{2} - 6 x + 4 x - 3 + 9

Add similar elements:

- 6 x + 4 x = - 2 x

= - 4 x^{2} - 2 x - 3 + 9

Add the numbers:

- 3 + 9 = 6

= - 4 x^{2} - 2 x + 6

(2 x - 1) (4 x + 3)

24 x^{2} - 8 x

\frac{3}{4} \div \frac{5}{2}

- 9108 + 27

(- 4 + 5 i) (- 4 - 5 i)

What is 2x^2+(4x-6x^2)+9-(6x+3) ?
The solution to 2x^2+(4x-6x^2)+9-(6x+3) is -4x^2-2x+6