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-3x\left(2x-5\right)=-3x^{2}\times 2-3x\times 5
Multiply x and x to get x^{2}.
-6x^{2}+15x=-3x^{2}\times 2-3x\times 5
Use the distributive property to multiply -3x by 2x-5.
-6x^{2}+15x=-6x^{2}-3x\times 5
Multiply -3 and 2 to get -6.
-6x^{2}+15x=-6x^{2}-15x
Multiply 3 and 5 to get 15.
-6x^{2}+15x+6x^{2}=-15x
Add 6x^{2} to both sides.
15x=-15x
Combine -6x^{2} and 6x^{2} to get 0.
15x+15x=0
Add 15x to both sides.
30x=0
Combine 15x and 15x to get 30x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 30 is not equal to 0, x must be equal to 0.