What is the answer to solvefor x,6x(x^2+4x-2)-2x(3x^2+8)=8x(3x-4)-4(3x-8) ?

The answer to solvefor x,6x(x^2+4x-2)-2x(3x^2+8)=8x(3x-4)-4(3x-8) is x=2

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Solve for x 6x(x^2+4x-2)-2x(3x^2+8)=8x(3x-4)-4(3x-8)

solve for

x, 6 x (x^{2} + 4 x - 2) - 2 x (3 x^{2} + 8) = 8 x (3 x - 4) - 4 (3 x - 8)

x = 2

Solution steps

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

Expand

8 x (3 x - 4) : 24 x^{2} - 32 x

24 x^{2} - 28 x = 24 x^{2} - 32 x - 4 (3 x - 8)

Expand

- 4 (3 x - 8) : - 12 x + 32

24 x^{2} - 28 x = 24 x^{2} - 32 x - 12 x + 32

Add similar elements:

- 32 x - 12 x = - 44 x

24 x^{2} - 28 x = 24 x^{2} - 44 x + 32

Expand

6 x (x^{2} + 4 x - 2) - 2 x (3 x^{2} + 8) : 24 x^{2} - 28 x

24 x^{2} - 28 x = 24 x^{2} - 44 x + 32

Subtract

24 x^{2} - 44 x

from both sides

24 x^{2} - 28 x - (24 x^{2} - 44 x) = 24 x^{2} - 44 x + 32 - (24 x^{2} - 44 x)

Simplify

16 x = 32

Divide both sides by

16

x = 2

(2 x^{4})^{5}

r, v = \frac{4}{3} p i r^{3}

(5 r - 4) (r^{2} - 6 r + 4)

45 - 320

x^{2} + 8

What is the answer to solvefor x,6x(x^2+4x-2)-2x(3x^2+8)=8x(3x-4)-4(3x-8) ?
The answer to solvefor x,6x(x^2+4x-2)-2x(3x^2+8)=8x(3x-4)-4(3x-8) is x=2