What is the answer to 2/3 (9-6x)=(3x+6)^2-9x^2 ?

The answer to 2/3 (9-6x)=(3x+6)^2-9x^2 is x=-3/4

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2/3 (9-6x)=(3x+6)^2-9x^2

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

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

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

Expand

\frac{2}{3} (9 - 6 x) : - 4 x + 6

Expand

(3 x + 6)^{2} - 9 x^{2} : 36 x + 36

- 4 x + 6 = 36 x + 36

Move

6

to the right side

- 4 x = 36 x + 30

Move

36 x

to the left side

- 40 x = 30

Divide both sides by

- 40

x = - \frac{3}{4}

\frac{x ^{2}}{3} + 18 = 0

\frac{x}{4} = \frac{6}{8}

5 x^{2} + 20 = 0

- 0.6 (8)^{2} + 4.8 (8)

\frac{10 !}{4 ! ( 10 - 4 ) !}

What is the answer to 2/3 (9-6x)=(3x+6)^2-9x^2 ?
The answer to 2/3 (9-6x)=(3x+6)^2-9x^2 is x=-3/4
Solve for x: 2/3 (9-6x)=(3x+6)^2-9x^2
The solution is x=-3/4