Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(4−x)(3+x)
Evaluate
12+x−x2
Rewrite the expression
12+(4−3)x−x2
Calculate
12+4x−3x−x2
Rewrite the expression
4×3+4x−x×3−x×x
Factor out 4 from the expression
4(3+x)−x×3−x×x
Factor out −x from the expression
4(3+x)−x(3+x)
Solution
(4−x)(3+x)
Show Solution
Find the roots
x1=−3,x2=4
Evaluate
12+x−x2
To find the roots of the expression,set the expression equal to 0
12+x−x2=0
Factor the expression
More Steps
Evaluate
12+x−x2
Rewrite the expression
12+(4−3)x−x2
Calculate
12+4x−3x−x2
Rewrite the expression
4×3+4x−x×3−x×x
Factor out 4 from the expression
4(3+x)−x×3−x×x
Factor out −x from the expression
4(3+x)−x(3+x)
Factor out 3+x from the expression
(4−x)(3+x)
(4−x)(3+x)=0
When the product of factors equals 0,at least one factor is 0
4−x=03+x=0
Solve the equation for x
More Steps
Evaluate
4−x=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
Change the signs on both sides of the equation
x=4
x=43+x=0
Solve the equation for x
More Steps
Evaluate
3+x=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