Question
Factor the expression
(x+1)(2x+7)
Evaluate
2x2+9x+7
Rewrite the expression
2x2+(7+2)x+7
Calculate
2x2+7x+2x+7
Rewrite the expression
x×2x+x×7+2x+7
Factor out x from the expression
x(2x+7)+2x+7
Solution
(x+1)(2x+7)
Show Solution

Find the roots
x1=−27,x2=−1
Alternative Form
x1=−3.5,x2=−1
Evaluate
2x2+9x+7
To find the roots of the expression,set the expression equal to 0
2x2+9x+7=0
Factor the expression
More Steps

Evaluate
2x2+9x+7
Rewrite the expression
2x2+(7+2)x+7
Calculate
2x2+7x+2x+7
Rewrite the expression
x×2x+x×7+2x+7
Factor out x from the expression
x(2x+7)+2x+7
Factor out 2x+7 from the expression
(x+1)(2x+7)
(x+1)(2x+7)=0
When the product of factors equals 0,at least one factor is 0
x+1=02x+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=−12x+7=0
Solve the equation for x
More Steps

Evaluate
2x+7=0
Move the constant to the right-hand side and change its sign
2x=0−7
Removing 0 doesn't change the value,so remove it from the expression
2x=−7
Divide both sides
22x=2−7
Divide the numbers
x=2−7
Use b−a=−ba=−ba to rewrite the fraction
x=−27
x=−1x=−27
Solution
x1=−27,x2=−1
Alternative Form
x1=−3.5,x2=−1
Show Solution
