Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−x−30
Evaluate
x2−1×x−30
Solution
x2−x−30
Show Solution
Factor the expression
(x−6)(x+5)
Evaluate
x2−1×x−30
Any expression multiplied by 1 remains the same
x2−x−30
Rewrite the expression
x2+(5−6)x−30
Calculate
x2+5x−6x−30
Rewrite the expression
x×x+x×5−6x−6×5
Factor out x from the expression
x(x+5)−6x−6×5
Factor out −6 from the expression
x(x+5)−6(x+5)
Solution
(x−6)(x+5)
Show Solution
Find the roots
x1=−5,x2=6
Evaluate
x2−1×x−30
To find the roots of the expression,set the expression equal to 0
x2−1×x−30=0
Any expression multiplied by 1 remains the same
x2−x−30=0
Factor the expression
More Steps
Evaluate
x2−x−30
Rewrite the expression
x2+(5−6)x−30
Calculate
x2+5x−6x−30
Rewrite the expression
x×x+x×5−6x−6×5
Factor out x from the expression
x(x+5)−6x−6×5
Factor out −6 from the expression
x(x+5)−6(x+5)
Factor out x+5 from the expression
(x−6)(x+5)
(x−6)(x+5)=0
When the product of factors equals 0,at least one factor is 0
x−6=0x+5=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=6x+5=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=6x=−5
Solution
x1=−5,x2=6
Show Solution