Solve (420*10^3*x)+(275*10^3*30)/(420*10^3)+(275*10^3)=0

$$\frac{ (420 \times { 10 }^{ 3 } \times x)+(275 \times { 10 }^{ 3 } \times 30) }{ (420 \times { 10 }^{ 3 } )+(275 \times { 10 }^{ 3 } ) } =0$$

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.

$$\frac{420\times 1000x+275\times 10^{3}\times 30}{420\times 10^{3}+275\times 10^{3}}=0$$

Multiply 420 and 1000 to get 420000.

$$\frac{420000x+275\times 10^{3}\times 30}{420\times 10^{3}+275\times 10^{3}}=0$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{420000x+275\times 1000\times 30}{420\times 10^{3}+275\times 10^{3}}=0$$

Multiply 275 and 1000 to get 275000.

$$\frac{420000x+275000\times 30}{420\times 10^{3}+275\times 10^{3}}=0$$

Multiply 275000 and 30 to get 8250000.

$$\frac{420000x+8250000}{420\times 10^{3}+275\times 10^{3}}=0$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{420000x+8250000}{420\times 1000+275\times 10^{3}}=0$$

Multiply 420 and 1000 to get 420000.

$$\frac{420000x+8250000}{420000+275\times 10^{3}}=0$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{420000x+8250000}{420000+275\times 1000}=0$$

Multiply 275 and 1000 to get 275000.

$$\frac{420000x+8250000}{420000+275000}=0$$

Add 420000 and 275000 to get 695000.

$$\frac{420000x+8250000}{695000}=0$$

Divide each term of 420000x+8250000 by 695000 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.

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