Solve 4.7*10^-19=6.63*10^-34*3*10^8/2*10^-7-w

$$4.7 \times 10 ^ { - 19 } = 6.63 \times 10 ^ { - 34 } \times \frac { 3 \times 10 ^ { 8 } } { 2 \times 10 ^ { - 7 } } - w$$

Solve for w

$$w=0.0000000000000000005245$$

Steps for Solving Linear Equation

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$4.7\times \frac{1}{10000000000000000000}=6.63\times 10^{-34}\times \frac{3\times 10^{8}}{2\times 10^{-7}}-w$$

Multiply 4.7 and \frac{1}{10000000000000000000} to get \frac{47}{100000000000000000000}.

$$\frac{47}{100000000000000000000}=6.63\times 10^{-34}\times \frac{3\times 10^{8}}{2\times 10^{-7}}-w$$

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$\frac{47}{100000000000000000000}=6.63\times \frac{1}{10000000000000000000000000000000000}\times \frac{3\times 10^{8}}{2\times 10^{-7}}-w$$

Multiply 6.63 and \frac{1}{10000000000000000000000000000000000} to get \frac{663}{1000000000000000000000000000000000000}.

$$\frac{47}{100000000000000000000}=\frac{663}{1000000000000000000000000000000000000}\times \frac{3\times 10^{8}}{2\times 10^{-7}}-w$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{47}{100000000000000000000}=\frac{663}{1000000000000000000000000000000000000}\times \frac{3\times 10^{15}}{2}-w$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{47}{100000000000000000000}=\frac{663}{1000000000000000000000000000000000000}\times \frac{3\times 1000000000000000}{2}-w$$

Multiply 3 and 1000000000000000 to get 3000000000000000.

$$\frac{47}{100000000000000000000}=\frac{663}{1000000000000000000000000000000000000}\times \frac{3000000000000000}{2}-w$$

Divide 3000000000000000 by 2 to get 1500000000000000.

$$\frac{47}{100000000000000000000}=\frac{663}{1000000000000000000000000000000000000}\times 1500000000000000-w$$

Multiply \frac{663}{1000000000000000000000000000000000000} and 1500000000000000 to get \frac{1989}{2000000000000000000000}.

$$\frac{47}{100000000000000000000}=\frac{1989}{2000000000000000000000}-w$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1989}{2000000000000000000000}-w=\frac{47}{100000000000000000000}$$

Subtract \frac{1989}{2000000000000000000000} from both sides.

$$-w=\frac{47}{100000000000000000000}-\frac{1989}{2000000000000000000000}$$

Subtract \frac{1989}{2000000000000000000000} from \frac{47}{100000000000000000000} to get -\frac{1049}{2000000000000000000000}.

$$-w=-\frac{1049}{2000000000000000000000}$$

Multiply both sides by -1.

$$w=\frac{1049}{2000000000000000000000}$$