Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−3)(x+4)
Evaluate
x2+x−12
Rewrite the expression
x2+(4−3)x−12
Calculate
x2+4x−3x−12
Rewrite the expression
x×x+x×4−3x−3×4
Factor out x from the expression
x(x+4)−3x−3×4
Factor out −3 from the expression
x(x+4)−3(x+4)
Solution
(x−3)(x+4)
Show Solution
Find the roots
x1=−4,x2=3
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+(4−3)x−12
Calculate
x2+4x−3x−12
Rewrite the expression
x×x+x×4−3x−3×4
Factor out x from the expression
x(x+4)−3x−3×4
Factor out −3 from the expression
x(x+4)−3(x+4)
Factor out x+4 from the expression
(x−3)(x+4)
(x−3)(x+4)=0
When the product of factors equals 0,at least one factor is 0
x−3=0x+4=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=3x+4=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=3x=−4
Solution
x1=−4,x2=3
Show Solution