Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−3)(x+9)
Evaluate
x2+6x−27
Rewrite the expression
x2+(9−3)x−27
Calculate
x2+9x−3x−27
Rewrite the expression
x×x+x×9−3x−3×9
Factor out x from the expression
x(x+9)−3x−3×9
Factor out −3 from the expression
x(x+9)−3(x+9)
Solution
(x−3)(x+9)
Show Solution
Find the roots
x1=−9,x2=3
Evaluate
x2+6x−27
To find the roots of the expression,set the expression equal to 0
x2+6x−27=0
Factor the expression
More Steps
Evaluate
x2+6x−27
Rewrite the expression
x2+(9−3)x−27
Calculate
x2+9x−3x−27
Rewrite the expression
x×x+x×9−3x−3×9
Factor out x from the expression
x(x+9)−3x−3×9
Factor out −3 from the expression
x(x+9)−3(x+9)
Factor out x+9 from the expression
(x−3)(x+9)
(x−3)(x+9)=0
When the product of factors equals 0,at least one factor is 0
x−3=0x+9=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+9=0
Solve the equation for x
More Steps
Evaluate
x+9=0
Move the constant to the right-hand side and change its sign
x=0−9
Removing 0 doesn't change the value,so remove it from the expression
x=−9
x=3x=−9
Solution
x1=−9,x2=3
Show Solution