Question
Factor the expression
(x+4)(2x+7)
Evaluate
2x2+15x+28
Rewrite the expression
2x2+(7+8)x+28
Calculate
2x2+7x+8x+28
Rewrite the expression
x×2x+x×7+4×2x+4×7
Factor out x from the expression
x(2x+7)+4×2x+4×7
Factor out 4 from the expression
x(2x+7)+4(2x+7)
Solution
(x+4)(2x+7)
Show Solution

Find the roots
x1=−4,x2=−27
Alternative Form
x1=−4,x2=−3.5
Evaluate
2x2+15x+28
To find the roots of the expression,set the expression equal to 0
2x2+15x+28=0
Factor the expression
More Steps

Evaluate
2x2+15x+28
Rewrite the expression
2x2+(7+8)x+28
Calculate
2x2+7x+8x+28
Rewrite the expression
x×2x+x×7+4×2x+4×7
Factor out x from the expression
x(2x+7)+4×2x+4×7
Factor out 4 from the expression
x(2x+7)+4(2x+7)
Factor out 2x+7 from the expression
(x+4)(2x+7)
(x+4)(2x+7)=0
When the product of factors equals 0,at least one factor is 0
x+4=02x+7=0
Solve the equation for x
More Steps

Evaluate
x+4=0
Move the constant to the right-hand side and change its sign
x=0−4
Removing 0 doesn't change the value,so remove it from the expression
x=−4
x=−42x+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=−4x=−27
Solution
x1=−4,x2=−27
Alternative Form
x1=−4,x2=−3.5
Show Solution
