Solve (-4)*(-11/3)*(2x-81/2)=0

$$( - 4 ) \cdot ( - 1 \frac { 1 } { 3 } ) \cdot ( 2 x - 8 \frac { 1 } { 2 } ) = 0$$

Solve for x

$$x = \frac{17}{4} = 4\frac{1}{4} = 4.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$-24\left(-\frac{3+1}{3}\right)\left(2x-\frac{8\times 2+1}{2}\right)=0$$

Add 3 and 1 to get 4.

$$-24\left(-\frac{4}{3}\right)\left(2x-\frac{8\times 2+1}{2}\right)=0$$

Express -24\left(-\frac{4}{3}\right) as a single fraction.

$$\frac{-24\left(-4\right)}{3}\left(2x-\frac{8\times 2+1}{2}\right)=0$$

Multiply -24 and -4 to get 96.

$$\frac{96}{3}\left(2x-\frac{8\times 2+1}{2}\right)=0$$

Divide 96 by 3 to get 32.

$$32\left(2x-\frac{8\times 2+1}{2}\right)=0$$

Multiply 8 and 2 to get 16.

$$32\left(2x-\frac{16+1}{2}\right)=0$$

Add 16 and 1 to get 17.

$$32\left(2x-\frac{17}{2}\right)=0$$

Use the distributive property to multiply 32 by 2x-\frac{17}{2}.

$$64x+32\left(-\frac{17}{2}\right)=0$$

Express 32\left(-\frac{17}{2}\right) as a single fraction.

$$64x+\frac{32\left(-17\right)}{2}=0$$

Multiply 32 and -17 to get -544.

$$64x+\frac{-544}{2}=0$$

Divide -544 by 2 to get -272.

$$64x-272=0$$

Add 272 to both sides. Anything plus zero gives itself.

$$64x=272$$

Divide both sides by 64.

$$x=\frac{272}{64}$$

Reduce the fraction \frac{272}{64} to lowest terms by extracting and canceling out 16.

$$x=\frac{17}{4}$$