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15x-0=0\times 4\left(3-5x\right)
Multiply 0 and 7 to get 0.
15x-0=0\left(3-5x\right)
Multiply 0 and 4 to get 0.
15x-0=0
Anything times zero gives zero.
15x=0+0
Add 0 to both sides.
15x=0
Add 0 and 0 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 15 is not equal to 0, x must be equal to 0.