Question
Factor the expression
Factor
(x+7)(3x−1)
Evaluate
3x2+20x−7
Rewrite the expression
3x2+(−1+21)x−7
Calculate
3x2−x+21x−7
Rewrite the expression
x×3x−x+7×3x−7
Factor out x from the expression
x(3x−1)+7×3x−7
Factor out 7 from the expression
x(3x−1)+7(3x−1)
Solution
(x+7)(3x−1)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−7,x2=31
Alternative Form
x1=−7,x2=0.3˙
Evaluate
3x2+20x−7
To find the roots of the expression,set the expression equal to 0
3x2+20x−7=0
Factor the expression
More Steps
Evaluate
3x2+20x−7
Rewrite the expression
3x2+(−1+21)x−7
Calculate
3x2−x+21x−7
Rewrite the expression
x×3x−x+7×3x−7
Factor out x from the expression
x(3x−1)+7×3x−7
Factor out 7 from the expression
x(3x−1)+7(3x−1)
Factor out 3x−1 from the expression
(x+7)(3x−1)
(x+7)(3x−1)=0
When the product of factors equals 0,at least one factor is 0
x+7=03x−1=0
Solve the equation for x
More Steps
Evaluate
x+7=0
Move the constant to the right-hand side and change its sign
x=0−7
Removing 0 doesn't change the value,so remove it from the expression
x=−7
x=−73x−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=−7x=31
Solution
x1=−7,x2=31
Alternative Form
x1=−7,x2=0.3˙
Show Solution