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\frac{x^{2}}{5}+\frac{5\left(1500x+100000\right)}{5}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1500x+100000 times \frac{5}{5}.
\frac{x^{2}+5\left(1500x+100000\right)}{5}
Since \frac{x^{2}}{5} and \frac{5\left(1500x+100000\right)}{5} have the same denominator, add them by adding their numerators.
\frac{x^{2}+7500x+500000}{5}
Do the multiplications in x^{2}+5\left(1500x+100000\right).