Solve x-8.07=-1.05*6.47+1/2*3.65*6.47^2

$$x-8.07=-1.05 \times 6.47+ \frac{ 1 }{ 2 } \times 3.65 \times { 6.47 }^{ 2 }$$

Solve for x

$$x=77.6726425$$

Steps for Solving Linear Equation

Multiply -1.05 and 6.47 to get -6.7935.

$$x-8.07=-6.7935+\frac{1}{2}\times 3.65\times 6.47^{2}$$

Convert decimal number 3.65 to fraction \frac{365}{100}. Reduce the fraction \frac{365}{100} to lowest terms by extracting and canceling out 5.

$$x-8.07=-6.7935+\frac{1}{2}\times \frac{73}{20}\times 6.47^{2}$$

Multiply \frac{1}{2} times \frac{73}{20} by multiplying numerator times numerator and denominator times denominator.

$$x-8.07=-6.7935+\frac{1\times 73}{2\times 20}\times 6.47^{2}$$

Do the multiplications in the fraction \frac{1\times 73}{2\times 20}.

$$x-8.07=-6.7935+\frac{73}{40}\times 6.47^{2}$$

Calculate 6.47 to the power of 2 and get 41.8609.

$$x-8.07=-6.7935+\frac{73}{40}\times 41.8609$$

Convert decimal number 41.8609 to fraction \frac{418609}{10000}.

$$x-8.07=-6.7935+\frac{73}{40}\times \frac{418609}{10000}$$

Multiply \frac{73}{40} times \frac{418609}{10000} by multiplying numerator times numerator and denominator times denominator.

$$x-8.07=-6.7935+\frac{73\times 418609}{40\times 10000}$$

Do the multiplications in the fraction \frac{73\times 418609}{40\times 10000}.

$$x-8.07=-6.7935+\frac{30558457}{400000}$$

Convert decimal number -6.7935 to fraction -\frac{67935}{10000}. Reduce the fraction -\frac{67935}{10000} to lowest terms by extracting and canceling out 5.

$$x-8.07=-\frac{13587}{2000}+\frac{30558457}{400000}$$

Least common multiple of 2000 and 400000 is 400000. Convert -\frac{13587}{2000} and \frac{30558457}{400000} to fractions with denominator 400000.

$$x-8.07=-\frac{2717400}{400000}+\frac{30558457}{400000}$$

Since -\frac{2717400}{400000} and \frac{30558457}{400000} have the same denominator, add them by adding their numerators.

$$x-8.07=\frac{-2717400+30558457}{400000}$$

Add -2717400 and 30558457 to get 27841057.

$$x-8.07=\frac{27841057}{400000}$$

Add 8.07 to both sides.

$$x=\frac{27841057}{400000}+8.07$$

Convert decimal number 8.07 to fraction \frac{807}{100}.

$$x=\frac{27841057}{400000}+\frac{807}{100}$$

Least common multiple of 400000 and 100 is 400000. Convert \frac{27841057}{400000} and \frac{807}{100} to fractions with denominator 400000.

$$x=\frac{27841057}{400000}+\frac{3228000}{400000}$$

Since \frac{27841057}{400000} and \frac{3228000}{400000} have the same denominator, add them by adding their numerators.

$$x=\frac{27841057+3228000}{400000}$$

Add 27841057 and 3228000 to get 31069057.

$$x=\frac{31069057}{400000}$$