Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−15)(x+12)
Evaluate
x2−3x−180
Rewrite the expression
x2+(12−15)x−180
Calculate
x2+12x−15x−180
Rewrite the expression
x×x+x×12−15x−15×12
Factor out x from the expression
x(x+12)−15x−15×12
Factor out −15 from the expression
x(x+12)−15(x+12)
Solution
(x−15)(x+12)
Show Solution
Find the roots
x1=−12,x2=15
Evaluate
x2−3x−180
To find the roots of the expression,set the expression equal to 0
x2−3x−180=0
Factor the expression
More Steps
Evaluate
x2−3x−180
Rewrite the expression
x2+(12−15)x−180
Calculate
x2+12x−15x−180
Rewrite the expression
x×x+x×12−15x−15×12
Factor out x from the expression
x(x+12)−15x−15×12
Factor out −15 from the expression
x(x+12)−15(x+12)
Factor out x+12 from the expression
(x−15)(x+12)
(x−15)(x+12)=0
When the product of factors equals 0,at least one factor is 0
x−15=0x+12=0
Solve the equation for x
More Steps
Evaluate
x−15=0
Move the constant to the right-hand side and change its sign
x=0+15
Removing 0 doesn't change the value,so remove it from the expression
x=15
x=15x+12=0
Solve the equation for x
More Steps
Evaluate
x+12=0
Move the constant to the right-hand side and change its sign
x=0−12
Removing 0 doesn't change the value,so remove it from the expression
x=−12
x=15x=−12
Solution
x1=−12,x2=15
Show Solution