Question
Factor the expression
Factor
(x−3)(x+6)
Evaluate
x2+3x−18
Rewrite the expression
x2+(6−3)x−18
Calculate
x2+6x−3x−18
Rewrite the expression
x×x+x×6−3x−3×6
Factor out x from the expression
x(x+6)−3x−3×6
Factor out −3 from the expression
x(x+6)−3(x+6)
Solution
(x−3)(x+6)
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Find the roots
Find the roots of the algebra expression
x1=−6,x2=3
Evaluate
x2+3x−18
To find the roots of the expression,set the expression equal to 0
x2+3x−18=0
Factor the expression
More Steps
Evaluate
x2+3x−18
Rewrite the expression
x2+(6−3)x−18
Calculate
x2+6x−3x−18
Rewrite the expression
x×x+x×6−3x−3×6
Factor out x from the expression
x(x+6)−3x−3×6
Factor out −3 from the expression
x(x+6)−3(x+6)
Factor out x+6 from the expression
(x−3)(x+6)
(x−3)(x+6)=0
When the product of factors equals 0,at least one factor is 0
x−3=0x+6=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+6=0
Solve the equation for x
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=3x=−6
Solution
x1=−6,x2=3
Show Solution