Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−4x−12
Evaluate
(x−6)(x+2)
Apply the distributive property
x×x+x×2−6x−6×2
Multiply the terms
x2+x×2−6x−6×2
Use the commutative property to reorder the terms
x2+2x−6x−6×2
Multiply the numbers
x2+2x−6x−12
Solution
More Steps
Evaluate
2x−6x
Collect like terms by calculating the sum or difference of their coefficients
(2−6)x
Subtract the numbers
−4x
x2−4x−12
Show Solution
Find the roots
x1=−2,x2=6
Evaluate
(x−6)(x+2)
To find the roots of the expression,set the expression equal to 0
(x−6)(x+2)=0
Separate the equation into 2 possible cases
x−6=0x+2=0
Solve the equation
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+2=0
Solve the equation
More Steps
Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=6x=−2
Solution
x1=−2,x2=6
Show Solution