What is the answer to x(3x-6)=(3x+2)(x-2) ?

The answer to x(3x-6)=(3x+2)(x-2) is x=2

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x(3x-6)=(3x+2)(x-2)

x (3 x - 6) = (3 x + 2) (x - 2)

x = 2

Solution steps

x (3 x - 6) = (3 x + 2) (x - 2)

Expand

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

Expand

(3 x + 2) (x - 2) : 3 x^{2} - 4 x - 4

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

Subtract

3 x^{2} - 4 x

from both sides

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

Simplify

- 2 x = - 4

Divide both sides by

- 2

x = 2

(\frac{5}{3})^{0} \cdot 2^{- 1}

5 x = - 45

45 x < 270

∣ 5 - 8 x ∣ > 10

4 (3 m + 10) \geq - 3 m - 51 + 8 m

What is the answer to x(3x-6)=(3x+2)(x-2) ?
The answer to x(3x-6)=(3x+2)(x-2) is x=2
Solve for x: x(3x-6)=(3x+2)(x-2)
The solution is x=2