Solve (4.20*10^3*x)+(2.75*10^3*30)/(4.20*10^3)+(2.75*10^3)=0

$$\frac{ (4.20 \times { 10 }^{ 3 } \times x)+(2.75 \times { 10 }^{ 3 } \times 30) }{ (4.20 \times { 10 }^{ 3 } )+(2.75 \times { 10 }^{ 3 } ) } =0$$

Solve for x

$$x = -\frac{275}{14} = -19\frac{9}{14} \approx -19.642857143$$

Steps for Solving Linear Equation

Calculate 10 to the power of 3 and get 1000.

$$\frac{4.2\times 1000x+2.75\times 10^{3}\times 30}{4.2\times 10^{3}+2.75\times 10^{3}}=0$$

Multiply 4.2 and 1000 to get 4200.

$$\frac{4200x+2.75\times 10^{3}\times 30}{4.2\times 10^{3}+2.75\times 10^{3}}=0$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{4200x+2.75\times 1000\times 30}{4.2\times 10^{3}+2.75\times 10^{3}}=0$$

Multiply 2.75 and 1000 to get 2750.

$$\frac{4200x+2750\times 30}{4.2\times 10^{3}+2.75\times 10^{3}}=0$$

Multiply 2750 and 30 to get 82500.

$$\frac{4200x+82500}{4.2\times 10^{3}+2.75\times 10^{3}}=0$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{4200x+82500}{4.2\times 1000+2.75\times 10^{3}}=0$$

Multiply 4.2 and 1000 to get 4200.

$$\frac{4200x+82500}{4200+2.75\times 10^{3}}=0$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{4200x+82500}{4200+2.75\times 1000}=0$$

Multiply 2.75 and 1000 to get 2750.

$$\frac{4200x+82500}{4200+2750}=0$$

Add 4200 and 2750 to get 6950.

$$\frac{4200x+82500}{6950}=0$$

Divide each term of 4200x+82500 by 6950 to get \frac{84}{139}x+\frac{1650}{139}.

$$\frac{84}{139}x+\frac{1650}{139}=0$$

Subtract \frac{1650}{139} from both sides. Anything subtracted from zero gives its negation.

$$\frac{84}{139}x=-\frac{1650}{139}$$

Multiply both sides by \frac{139}{84}, the reciprocal of \frac{84}{139}.

$$x=-\frac{1650}{139}\times \frac{139}{84}$$

Multiply -\frac{1650}{139} times \frac{139}{84} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-1650\times 139}{139\times 84}$$

Cancel out 139 in both numerator and denominator.

$$x=\frac{-1650}{84}$$

Reduce the fraction \frac{-1650}{84} to lowest terms by extracting and canceling out 6.

$$x=-\frac{275}{14}$$