Question
Simplify the expression
210x2−280x
Evaluate
5(x×7)×2(3x−4)
Remove the parentheses
5x×7×2(3x−4)
Multiply the terms
More Steps

Evaluate
5×7×2
Multiply the terms
35×2
Multiply the numbers
70
70x(3x−4)
Apply the distributive property
70x×3x−70x×4
Multiply the terms
More Steps

Evaluate
70x×3x
Multiply the numbers
210x×x
Multiply the terms
210x2
210x2−70x×4
Solution
210x2−280x
Show Solution

Find the roots
x1=0,x2=34
Alternative Form
x1=0,x2=1.3˙
Evaluate
5(x×7)×2(3x−4)
To find the roots of the expression,set the expression equal to 0
5(x×7)×2(3x−4)=0
Use the commutative property to reorder the terms
5×7x×2(3x−4)=0
Multiply the terms
More Steps

Multiply the terms
5×7x×2(3x−4)
Multiply the terms
More Steps

Evaluate
5×7×2
Multiply the terms
35×2
Multiply the numbers
70
70x(3x−4)
70x(3x−4)=0
Elimination the left coefficient
x(3x−4)=0
Separate the equation into 2 possible cases
x=03x−4=0
Solve the equation
More Steps

Evaluate
3x−4=0
Move the constant to the right-hand side and change its sign
3x=0+4
Removing 0 doesn't change the value,so remove it from the expression
3x=4
Divide both sides
33x=34
Divide the numbers
x=34
x=0x=34
Solution
x1=0,x2=34
Alternative Form
x1=0,x2=1.3˙
Show Solution
