Question
Simplify the expression
14x3−42x2
Evaluate
2(x−3)×7x2
Multiply the terms
14(x−3)x2
Multiply the terms
14x2(x−3)
Apply the distributive property
14x2×x−14x2×3
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
14x3−14x2×3
Solution
14x3−42x2
Show Solution

Find the roots
x1=0,x2=3
Evaluate
2(x−3)×7(x2)
To find the roots of the expression,set the expression equal to 0
2(x−3)×7(x2)=0
Calculate
2(x−3)×7x2=0
Multiply
More Steps

Multiply the terms
2(x−3)×7x2
Multiply the terms
14(x−3)x2
Multiply the terms
14x2(x−3)
14x2(x−3)=0
Elimination the left coefficient
x2(x−3)=0
Separate the equation into 2 possible cases
x2=0x−3=0
The only way a power can be 0 is when the base equals 0
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
