Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−30)(x+25)
Evaluate
x2−5x−750
Rewrite the expression
x2+(25−30)x−750
Calculate
x2+25x−30x−750
Rewrite the expression
x×x+x×25−30x−30×25
Factor out x from the expression
x(x+25)−30x−30×25
Factor out −30 from the expression
x(x+25)−30(x+25)
Solution
(x−30)(x+25)
Show Solution
Find the roots
x1=−25,x2=30
Evaluate
x2−5x−750
To find the roots of the expression,set the expression equal to 0
x2−5x−750=0
Factor the expression
More Steps
Evaluate
x2−5x−750
Rewrite the expression
x2+(25−30)x−750
Calculate
x2+25x−30x−750
Rewrite the expression
x×x+x×25−30x−30×25
Factor out x from the expression
x(x+25)−30x−30×25
Factor out −30 from the expression
x(x+25)−30(x+25)
Factor out x+25 from the expression
(x−30)(x+25)
(x−30)(x+25)=0
When the product of factors equals 0,at least one factor is 0
x−30=0x+25=0
Solve the equation for x
More Steps
Evaluate
x−30=0
Move the constant to the right-hand side and change its sign
x=0+30
Removing 0 doesn't change the value,so remove it from the expression
x=30
x=30x+25=0
Solve the equation for x
More Steps
Evaluate
x+25=0
Move the constant to the right-hand side and change its sign
x=0−25
Removing 0 doesn't change the value,so remove it from the expression
x=−25
x=30x=−25
Solution
x1=−25,x2=30
Show Solution