You can put this solution on YOUR website! 2x^(2)-30x=0
Factor out the GCF of 2x from each term in the polynomial.
2x(x)+2x(-15)=0
Factor out the GCF of 2x from 2x^(2)-30x.
2x(x-15)=0
Set the single term factor on the left-hand side of the equation equal to 0.
2x=0
Divide each term in the equation by 2.
(2x)/(2)=(0)/(2)
Simplify the left-hand side of the equation by canceling the common factors.
x=(0)/(2)
0 divided by any number or variable is 0.
x=0
Set each of the factors of the left-hand side of the equation equal to 0.
x-15=0
Since -15 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 15 to both sides.
x=15
The complete solution is the set of the individual solutions.
x=0,15
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