How do you solve the polynomial 10x35x2=0?

1 Answer
Nov 18, 2014

In order to solve the algebraic equation for the variable x we would begin by factoring out the common factor from the equation
10x35x2=0
The common factor between 10x3 and 5x2 is 5x2

5x2(2x1)=0

Next we would set each value of x equal to 0

5x2=0and(2x1)=0

5x2=0 divide by 5 and square root each side
x2=05
x=0

(2x1)=0 add 1 and divide by 2 on each side
2x=0+1
x=12

x={0,12}