Question
Factor the expression
Factor
(x+1)(3x+7)
Evaluate
3x2+10x+7
Rewrite the expression
3x2+(7+3)x+7
Calculate
3x2+7x+3x+7
Rewrite the expression
x×3x+x×7+3x+7
Factor out x from the expression
x(3x+7)+3x+7
Solution
(x+1)(3x+7)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−37,x2=−1
Alternative Form
x1=−2.3˙,x2=−1
Evaluate
3x2+10x+7
To find the roots of the expression,set the expression equal to 0
3x2+10x+7=0
Factor the expression
More Steps
Evaluate
3x2+10x+7
Rewrite the expression
3x2+(7+3)x+7
Calculate
3x2+7x+3x+7
Rewrite the expression
x×3x+x×7+3x+7
Factor out x from the expression
x(3x+7)+3x+7
Factor out 3x+7 from the expression
(x+1)(3x+7)
(x+1)(3x+7)=0
When the product of factors equals 0,at least one factor is 0
x+1=03x+7=0
Solve the equation for x
More Steps
Evaluate
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=−13x+7=0
Solve the equation for x
More Steps
Evaluate
3x+7=0
Move the constant to the right-hand side and change its sign
3x=0−7
Removing 0 doesn't change the value,so remove it from the expression
3x=−7
Divide both sides
33x=3−7
Divide the numbers
x=3−7
Use b−a=−ba=−ba to rewrite the fraction
x=−37
x=−1x=−37
Solution
x1=−37,x2=−1
Alternative Form
x1=−2.3˙,x2=−1
Show Solution