What is 5x-7x^2+3x(-6x+8)-4(x-12)-5x^2+18x+25 ?

The solution to 5x-7x^2+3x(-6x+8)-4(x-12)-5x^2+18x+25 is -30x^2+43x+73

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simplify 5x-7x^2+3x(-6x+8)-4(x-12)-5x^2+18x+25

simplify

5 x - 7 x^{2} + 3 x (- 6 x + 8) - 4 (x - 12) - 5 x^{2} + 18 x + 25

- 30 x^{2} + 43 x + 73

Solution steps

5 x - 7 x^{2} + 3 x (- 6 x + 8) - 4 (x - 12) - 5 x^{2} + 18 x + 25

Group like terms

= - 4 (x - 12) - 7 x^{2} - 5 x^{2} + 5 x + 18 x + 3 x (- 6 x + 8) + 25

Add similar elements:

- 7 x^{2} - 5 x^{2} = - 12 x^{2}

= - 4 (x - 12) - 12 x^{2} + 5 x + 18 x + 3 x (- 6 x + 8) + 25

Add similar elements:

5 x + 18 x = 23 x

= - 4 (x - 12) - 12 x^{2} + 23 x + 3 x (- 6 x + 8) + 25

Expand

- 4 (x - 12) : - 4 x + 48

= - 4 x + 48 - 12 x^{2} + 23 x + 3 x (- 6 x + 8) + 25

Expand

3 x (- 6 x + 8) : - 18 x^{2} + 24 x

= - 4 x + 48 - 12 x^{2} + 23 x - 18 x^{2} + 24 x + 25

Group like terms

= - 12 x^{2} - 18 x^{2} - 4 x + 23 x + 24 x + 48 + 25

Add similar elements:

- 12 x^{2} - 18 x^{2} = - 30 x^{2}

= - 30 x^{2} - 4 x + 23 x + 24 x + 48 + 25

Add similar elements:

- 4 x + 23 x + 24 x = 43 x

= - 30 x^{2} + 43 x + 48 + 25

Add the numbers:

48 + 25 = 73

= - 30 x^{2} + 43 x + 73

\frac{3}{9}

3 \frac{1}{2}

(x - 4) (x + 4)

(x - 3) (x + 2)

(x + 3) (x + 2)

What is 5x-7x^2+3x(-6x+8)-4(x-12)-5x^2+18x+25 ?
The solution to 5x-7x^2+3x(-6x+8)-4(x-12)-5x^2+18x+25 is -30x^2+43x+73