Question
Simplify the expression
6x2−2x
Evaluate
x×3x×2−2x
Solution
More Steps

Evaluate
x×3x×2
Multiply the terms
x2×3×2
Multiply the terms
x2×6
Use the commutative property to reorder the terms
6x2
6x2−2x
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Factor the expression
2x(3x−1)
Evaluate
x×3x×2−2x
Multiply
More Steps

Evaluate
x×3x×2
Multiply the terms
x2×3×2
Multiply the terms
x2×6
Use the commutative property to reorder the terms
6x2
6x2−2x
Rewrite the expression
2x×3x−2x
Solution
2x(3x−1)
Show Solution

Find the roots
x1=0,x2=31
Alternative Form
x1=0,x2=0.3˙
Evaluate
x×3x×2−2x
To find the roots of the expression,set the expression equal to 0
x×3x×2−2x=0
Multiply
More Steps

Multiply the terms
x×3x×2
Multiply the terms
x2×3×2
Multiply the terms
x2×6
Use the commutative property to reorder the terms
6x2
6x2−2x=0
Factor the expression
More Steps

Evaluate
6x2−2x
Rewrite the expression
2x×3x−2x
Factor out 2x from the expression
2x(3x−1)
2x(3x−1)=0
When the product of factors equals 0,at least one factor is 0
2x=03x−1=0
Solve the equation for x
x=03x−1=0
Solve the equation for x
More Steps

Evaluate
3x−1=0
Move the constant to the right-hand side and change its sign
3x=0+1
Removing 0 doesn't change the value,so remove it from the expression
3x=1
Divide both sides
33x=31
Divide the numbers
x=31
x=0x=31
Solution
x1=0,x2=31
Alternative Form
x1=0,x2=0.3˙
Show Solution
