Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−7)(x+2)
Evaluate
x2−5x−14
Rewrite the expression
x2+(2−7)x−14
Calculate
x2+2x−7x−14
Rewrite the expression
x×x+x×2−7x−7×2
Factor out x from the expression
x(x+2)−7x−7×2
Factor out −7 from the expression
x(x+2)−7(x+2)
Solution
(x−7)(x+2)
Show Solution
Find the roots
x1=−2,x2=7
Evaluate
x2−5x−14
To find the roots of the expression,set the expression equal to 0
x2−5x−14=0
Factor the expression
More Steps
Evaluate
x2−5x−14
Rewrite the expression
x2+(2−7)x−14
Calculate
x2+2x−7x−14
Rewrite the expression
x×x+x×2−7x−7×2
Factor out x from the expression
x(x+2)−7x−7×2
Factor out −7 from the expression
x(x+2)−7(x+2)
Factor out x+2 from the expression
(x−7)(x+2)
(x−7)(x+2)=0
When the product of factors equals 0,at least one factor is 0
x−7=0x+2=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=7x+2=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=7x=−2
Solution
x1=−2,x2=7
Show Solution