Solve x=1/2(7.3)(4.3)^2+1/2(2/5(7.3)(0.09))

$$x = 1 / 2 ( 7.3 ) ( 4.3 ) ^ { 2 } + 1 / 2 ( \frac { 2 } { 5 } ( 7.3 ) ( 0.09 ) )$$

Solve for x

$$x=67.6199$$

Steps for Solving Linear Equation

Convert decimal number 7.3 to fraction \frac{73}{10}.

$$x=\frac{1}{2}\times \frac{73}{10}\times 4.3^{2}+\frac{1}{2}\times \frac{2}{5}\times 7.3\times 0.09$$

Multiply \frac{1}{2} times \frac{73}{10} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 73}{2\times 10}\times 4.3^{2}+\frac{1}{2}\times \frac{2}{5}\times 7.3\times 0.09$$

Do the multiplications in the fraction \frac{1\times 73}{2\times 10}.

$$x=\frac{73}{20}\times 4.3^{2}+\frac{1}{2}\times \frac{2}{5}\times 7.3\times 0.09$$

Calculate 4.3 to the power of 2 and get 18.49.

$$x=\frac{73}{20}\times 18.49+\frac{1}{2}\times \frac{2}{5}\times 7.3\times 0.09$$

Convert decimal number 18.49 to fraction \frac{1849}{100}.

$$x=\frac{73}{20}\times \frac{1849}{100}+\frac{1}{2}\times \frac{2}{5}\times 7.3\times 0.09$$

Multiply \frac{73}{20} times \frac{1849}{100} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{73\times 1849}{20\times 100}+\frac{1}{2}\times \frac{2}{5}\times 7.3\times 0.09$$

Do the multiplications in the fraction \frac{73\times 1849}{20\times 100}.

$$x=\frac{134977}{2000}+\frac{1}{2}\times \frac{2}{5}\times 7.3\times 0.09$$

Multiply \frac{1}{2} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{134977}{2000}+\frac{1\times 2}{2\times 5}\times 7.3\times 0.09$$

Cancel out 2 in both numerator and denominator.

$$x=\frac{134977}{2000}+\frac{1}{5}\times 7.3\times 0.09$$

Convert decimal number 7.3 to fraction \frac{73}{10}.

$$x=\frac{134977}{2000}+\frac{1}{5}\times \frac{73}{10}\times 0.09$$

Multiply \frac{1}{5} times \frac{73}{10} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{134977}{2000}+\frac{1\times 73}{5\times 10}\times 0.09$$

Do the multiplications in the fraction \frac{1\times 73}{5\times 10}.

$$x=\frac{134977}{2000}+\frac{73}{50}\times 0.09$$

Convert decimal number 0.09 to fraction \frac{9}{100}.

$$x=\frac{134977}{2000}+\frac{73}{50}\times \frac{9}{100}$$

Multiply \frac{73}{50} times \frac{9}{100} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{134977}{2000}+\frac{73\times 9}{50\times 100}$$

Do the multiplications in the fraction \frac{73\times 9}{50\times 100}.

$$x=\frac{134977}{2000}+\frac{657}{5000}$$

Least common multiple of 2000 and 5000 is 10000. Convert \frac{134977}{2000} and \frac{657}{5000} to fractions with denominator 10000.

$$x=\frac{674885}{10000}+\frac{1314}{10000}$$

Since \frac{674885}{10000} and \frac{1314}{10000} have the same denominator, add them by adding their numerators.

$$x=\frac{674885+1314}{10000}$$

Add 674885 and 1314 to get 676199.

$$x=\frac{676199}{10000}$$

Assign x

$$x≔67.6199$$