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0=\frac{1}{2}x\left(10+5\right)
Multiply 0 and 35 to get 0.
0=\frac{1}{2}x\times 15
Add 10 and 5 to get 15.
0=\frac{15}{2}x
Multiply \frac{1}{2} and 15 to get \frac{15}{2}.
\frac{15}{2}x=0
Swap sides so that all variable terms are on the left hand side.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{15}{2} is not equal to 0, x must be equal to 0.