Question
Factor the expression
Factor
(x+2)(x+7)
Evaluate
x2+9x+14
Rewrite the expression
x2+(7+2)x+14
Calculate
x2+7x+2x+14
Rewrite the expression
x×x+x×7+2x+2×7
Factor out x from the expression
x(x+7)+2x+2×7
Factor out 2 from the expression
x(x+7)+2(x+7)
Solution
(x+2)(x+7)
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Find the roots
Find the roots of the algebra expression
x1=−7,x2=−2
Evaluate
x2+9x+14
To find the roots of the expression,set the expression equal to 0
x2+9x+14=0
Factor the expression
More Steps
Evaluate
x2+9x+14
Rewrite the expression
x2+(7+2)x+14
Calculate
x2+7x+2x+14
Rewrite the expression
x×x+x×7+2x+2×7
Factor out x from the expression
x(x+7)+2x+2×7
Factor out 2 from the expression
x(x+7)+2(x+7)
Factor out x+7 from the expression
(x+2)(x+7)
(x+2)(x+7)=0
When the product of factors equals 0,at least one factor is 0
x+2=0x+7=0
Solve the equation for x
More Steps
Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=−2x+7=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=−2x=−7
Solution
x1=−7,x2=−2
Show Solution