Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−7)(x+6)
Evaluate
x2−x−42
Rewrite the expression
x2+(6−7)x−42
Calculate
x2+6x−7x−42
Rewrite the expression
x×x+x×6−7x−7×6
Factor out x from the expression
x(x+6)−7x−7×6
Factor out −7 from the expression
x(x+6)−7(x+6)
Solution
(x−7)(x+6)
Show Solution
Find the roots
x1=−6,x2=7
Evaluate
x2−x−42
To find the roots of the expression,set the expression equal to 0
x2−x−42=0
Factor the expression
More Steps
Evaluate
x2−x−42
Rewrite the expression
x2+(6−7)x−42
Calculate
x2+6x−7x−42
Rewrite the expression
x×x+x×6−7x−7×6
Factor out x from the expression
x(x+6)−7x−7×6
Factor out −7 from the expression
x(x+6)−7(x+6)
Factor out x+6 from the expression
(x−7)(x+6)
(x−7)(x+6)=0
When the product of factors equals 0,at least one factor is 0
x−7=0x+6=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+6=0
Solve the equation for x
More Steps
Evaluate
x+6=0
Move the constant to the right-hand side and change its sign
x=0−6
Removing 0 doesn't change the value,so remove it from the expression
x=−6
x=7x=−6
Solution
x1=−6,x2=7
Show Solution