Question
Factor the expression
Factor
(x−3)(x+5)
Evaluate
x2+2x−15
Rewrite the expression
x2+(5−3)x−15
Calculate
x2+5x−3x−15
Rewrite the expression
x×x+x×5−3x−3×5
Factor out x from the expression
x(x+5)−3x−3×5
Factor out −3 from the expression
x(x+5)−3(x+5)
Solution
(x−3)(x+5)
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Find the roots
Find the roots of the algebra expression
x1=−5,x2=3
Evaluate
x2+2x−15
To find the roots of the expression,set the expression equal to 0
x2+2x−15=0
Factor the expression
More Steps
Evaluate
x2+2x−15
Rewrite the expression
x2+(5−3)x−15
Calculate
x2+5x−3x−15
Rewrite the expression
x×x+x×5−3x−3×5
Factor out x from the expression
x(x+5)−3x−3×5
Factor out −3 from the expression
x(x+5)−3(x+5)
Factor out x+5 from the expression
(x−3)(x+5)
(x−3)(x+5)=0
When the product of factors equals 0,at least one factor is 0
x−3=0x+5=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+5=0
Solve the equation for x
More Steps
Evaluate
x+5=0
Move the constant to the right-hand side and change its sign
x=0−5
Removing 0 doesn't change the value,so remove it from the expression
x=−5
x=3x=−5
Solution
x1=−5,x2=3
Show Solution