Question
Simplify the expression
−20x2+60x
Evaluate
(x−3)(−2x×10)
Rewrite the expression
(x−3)(−2)x×10
Rewrite the expression
−(x−3)×2x×10
Multiply the terms
−(x−3)×20x
Multiply the first two terms
(−x+3)×20x
Multiply the terms
20x(−x+3)
Apply the distributive property
20x(−x)+20x×3
Multiply the terms
More Steps

Evaluate
20x(−x)
Multiply the numbers
−20x×x
Multiply the terms
−20x2
−20x2+20x×3
Solution
−20x2+60x
Show Solution

Find the roots
x1=0,x2=3
Evaluate
(x−3)(−2x×10)
To find the roots of the expression,set the expression equal to 0
(x−3)(−2x×10)=0
Multiply the terms
(x−3)(−20x)=0
Multiply the terms
−20x(x−3)=0
Change the sign
20x(x−3)=0
Elimination the left coefficient
x(x−3)=0
Separate the equation into 2 possible cases
x=0x−3=0
Solve the equation
More Steps

Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=0x=3
Solution
x1=0,x2=3
Show Solution
