Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−5)(x+6)
Evaluate
x2+x−30
Rewrite the expression
x2+(6−5)x−30
Calculate
x2+6x−5x−30
Rewrite the expression
x×x+x×6−5x−5×6
Factor out x from the expression
x(x+6)−5x−5×6
Factor out −5 from the expression
x(x+6)−5(x+6)
Solution
(x−5)(x+6)
Show Solution
Find the roots
x1=−6,x2=5
Evaluate
x2+x−30
To find the roots of the expression,set the expression equal to 0
x2+x−30=0
Factor the expression
More Steps
Evaluate
x2+x−30
Rewrite the expression
x2+(6−5)x−30
Calculate
x2+6x−5x−30
Rewrite the expression
x×x+x×6−5x−5×6
Factor out x from the expression
x(x+6)−5x−5×6
Factor out −5 from the expression
x(x+6)−5(x+6)
Factor out x+6 from the expression
(x−5)(x+6)
(x−5)(x+6)=0
When the product of factors equals 0,at least one factor is 0
x−5=0x+6=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+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=5x=−6
Solution
x1=−6,x2=5
Show Solution