Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−4)(x+3)
Evaluate
x2−x−12
Rewrite the expression
x2+(3−4)x−12
Calculate
x2+3x−4x−12
Rewrite the expression
x×x+x×3−4x−4×3
Factor out x from the expression
x(x+3)−4x−4×3
Factor out −4 from the expression
x(x+3)−4(x+3)
Solution
(x−4)(x+3)
Show Solution
Find the roots
x1=−3,x2=4
Evaluate
x2−x−12
To find the roots of the expression,set the expression equal to 0
x2−x−12=0
Factor the expression
More Steps
Evaluate
x2−x−12
Rewrite the expression
x2+(3−4)x−12
Calculate
x2+3x−4x−12
Rewrite the expression
x×x+x×3−4x−4×3
Factor out x from the expression
x(x+3)−4x−4×3
Factor out −4 from the expression
x(x+3)−4(x+3)
Factor out x+3 from the expression
(x−4)(x+3)
(x−4)(x+3)=0
When the product of factors equals 0,at least one factor is 0
x−4=0x+3=0
Solve the equation for x
More Steps
Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=4x+3=0
Solve the equation for x
More Steps
Evaluate
x+3=0
Move the constant to the right-hand side and change its sign
x=0−3
Removing 0 doesn't change the value,so remove it from the expression
x=−3
x=4x=−3
Solution
x1=−3,x2=4
Show Solution