Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+5)(x+7)
Evaluate
x2+12x+35
Rewrite the expression
x2+(7+5)x+35
Calculate
x2+7x+5x+35
Rewrite the expression
x×x+x×7+5x+5×7
Factor out x from the expression
x(x+7)+5x+5×7
Factor out 5 from the expression
x(x+7)+5(x+7)
Solution
(x+5)(x+7)
Show Solution
Find the roots
x1=−7,x2=−5
Evaluate
x2+12x+35
To find the roots of the expression,set the expression equal to 0
x2+12x+35=0
Factor the expression
More Steps
Evaluate
x2+12x+35
Rewrite the expression
x2+(7+5)x+35
Calculate
x2+7x+5x+35
Rewrite the expression
x×x+x×7+5x+5×7
Factor out x from the expression
x(x+7)+5x+5×7
Factor out 5 from the expression
x(x+7)+5(x+7)
Factor out x+7 from the expression
(x+5)(x+7)
(x+5)(x+7)=0
When the product of factors equals 0,at least one factor is 0
x+5=0x+7=0
Solve the equation for x
More Steps
Evaluate
x+5=0
Move the constant to the right-hand side and change its sign
x=0−5
Removing 0 doesn't change the value,so remove it from the expression
x=−5
x=−5x+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=−5x=−7
Solution
x1=−7,x2=−5
Show Solution