What is the answer to -3x(2-x+4x)=-3x\times (2+3x) ?

The answer to -3x(2-x+4x)=-3x\times (2+3x) is True for all x

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-3x(2-x+4x)=-3x\times (2+3x)

- 3 x (2 - x + 4 x) = - 3 x \cdot (2 + 3 x)

True for all x

Solution steps

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

Add similar elements:

- x + 4 x = 3 x

- 3 x (2 + 3 x) = - 3 x (2 + 3 x)

Expand

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

Expand

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

- 6 x - 9 x^{2} = - 6 x - 9 x^{2}

Subtract

- 6 x - 9 x^{2}

from both sides

- 6 x - 9 x^{2} - (- 6 x - 9 x^{2}) = - 6 x - 9 x^{2} - (- 6 x - 9 x^{2})

Simplify

0 = 0

Both sides are equal

True for all x

x^{2} - 13 x = - 5 x

m - \frac{1}{3} = - 5

z^{3} - 64

w^{2} - 3 w - 40 = 0

3 x - (x - 5) = 9

What is the answer to -3x(2-x+4x)=-3x\times (2+3x) ?
The answer to -3x(2-x+4x)=-3x\times (2+3x) is True for all x
Solve for x: -3x(2-x+4x)=-3x\times (2+3x)
The solution is True for all x