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\frac{3x^{2}}{2}+\frac{2\left(-5x+c\right)}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply -5x+c times \frac{2}{2}.
\frac{3x^{2}+2\left(-5x+c\right)}{2}
Since \frac{3x^{2}}{2} and \frac{2\left(-5x+c\right)}{2} have the same denominator, add them by adding their numerators.
\frac{3x^{2}-10x+2c}{2}
Do the multiplications in 3x^{2}+2\left(-5x+c\right).
\frac{3x^{2}-10x+2c}{2}
Factor out \frac{1}{2}.