Step 1

The given equation is \(\displaystyle{0.10}{d}+{0.25}{\left({d}+{5}\right)}={4.05}\)

The equation \(\displaystyle{0.10}{d}+{0.25}{\left({d}+{5}\right)}={4.05}\) can be solved as follows.

Wemultiply the decimal number by 100 to shift the decimal towards right hand side by two place.

Step 2

For clearing the decimals we multiply each term by 100.

\(\displaystyle\Rightarrow{100}\times{0.10}{d}+{100}\times{0.25}{\left({d}+{5}\right)}={100}\times{4.05}\)

\(\displaystyle\Rightarrow{10}{d}+{25}{\left({d}+{5}\right)}={405}\)

\(\displaystyle\Rightarrow{10}{d}+{25}{d}+{125}={405}\)

Subtract 125 on sides.

\(\displaystyle\Rightarrow{10}{d}+{25}{d}+{125}-{125}={405}-{125}\)

\(\displaystyle\Rightarrow{35}{d}={280}\)

Divide both sides by 35.

\(\displaystyle\Rightarrow{\frac{{{35}{d}}}{{{35}}}}={\frac{{{280}}}{{{35}}}}\)

\(\displaystyle\Rightarrow\ {d}={8}\)

Therefore, \(\displaystyle{d}={8}\) is the solution of \(\displaystyle{0.10}{d}+{0.25}{\left({d}+{5}\right)}={4.05}.\)

The given equation is \(\displaystyle{0.10}{d}+{0.25}{\left({d}+{5}\right)}={4.05}\)

The equation \(\displaystyle{0.10}{d}+{0.25}{\left({d}+{5}\right)}={4.05}\) can be solved as follows.

Wemultiply the decimal number by 100 to shift the decimal towards right hand side by two place.

Step 2

For clearing the decimals we multiply each term by 100.

\(\displaystyle\Rightarrow{100}\times{0.10}{d}+{100}\times{0.25}{\left({d}+{5}\right)}={100}\times{4.05}\)

\(\displaystyle\Rightarrow{10}{d}+{25}{\left({d}+{5}\right)}={405}\)

\(\displaystyle\Rightarrow{10}{d}+{25}{d}+{125}={405}\)

Subtract 125 on sides.

\(\displaystyle\Rightarrow{10}{d}+{25}{d}+{125}-{125}={405}-{125}\)

\(\displaystyle\Rightarrow{35}{d}={280}\)

Divide both sides by 35.

\(\displaystyle\Rightarrow{\frac{{{35}{d}}}{{{35}}}}={\frac{{{280}}}{{{35}}}}\)

\(\displaystyle\Rightarrow\ {d}={8}\)

Therefore, \(\displaystyle{d}={8}\) is the solution of \(\displaystyle{0.10}{d}+{0.25}{\left({d}+{5}\right)}={4.05}.\)