Question
Simplify the expression
−1600x2+9600x
Evaluate
−8(x−6)×20(x×10)
Remove the parentheses
−8(x−6)×20x×10
Multiply the terms
More Steps

Evaluate
8×20×10
Multiply the terms
160×10
Multiply the numbers
1600
−1600(x−6)x
Multiply the terms
−1600x(x−6)
Apply the distributive property
−1600x×x−(−1600x×6)
Multiply the terms
−1600x2−(−1600x×6)
Multiply the numbers
−1600x2−(−9600x)
Solution
−1600x2+9600x
Show Solution

Find the roots
x1=0,x2=6
Evaluate
−8(x−6)×20(x×10)
To find the roots of the expression,set the expression equal to 0
−8(x−6)×20(x×10)=0
Use the commutative property to reorder the terms
−8(x−6)×20×10x=0
Multiply
More Steps

Multiply the terms
−8(x−6)×20×10x
Multiply the terms
More Steps

Evaluate
8×20×10
Multiply the terms
160×10
Multiply the numbers
1600
−1600(x−6)x
Multiply the terms
−1600x(x−6)
−1600x(x−6)=0
Change the sign
1600x(x−6)=0
Elimination the left coefficient
x(x−6)=0
Separate the equation into 2 possible cases
x=0x−6=0
Solve the equation
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Evaluate
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Removing 0 doesn't change the value,so remove it from the expression
x=6
x=0x=6
Solution
x1=0,x2=6
Show Solution
