Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−5)(x+10)
Evaluate
x2+5x−50
Rewrite the expression
x2+(10−5)x−50
Calculate
x2+10x−5x−50
Rewrite the expression
x×x+x×10−5x−5×10
Factor out x from the expression
x(x+10)−5x−5×10
Factor out −5 from the expression
x(x+10)−5(x+10)
Solution
(x−5)(x+10)
Show Solution
Find the roots
x1=−10,x2=5
Evaluate
x2+5x−50
To find the roots of the expression,set the expression equal to 0
x2+5x−50=0
Factor the expression
More Steps
Evaluate
x2+5x−50
Rewrite the expression
x2+(10−5)x−50
Calculate
x2+10x−5x−50
Rewrite the expression
x×x+x×10−5x−5×10
Factor out x from the expression
x(x+10)−5x−5×10
Factor out −5 from the expression
x(x+10)−5(x+10)
Factor out x+10 from the expression
(x−5)(x+10)
(x−5)(x+10)=0
When the product of factors equals 0,at least one factor is 0
x−5=0x+10=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=5x+10=0
Solve the equation for x
More Steps
Evaluate
x+10=0
Move the constant to the right-hand side and change its sign
x=0−10
Removing 0 doesn't change the value,so remove it from the expression
x=−10
x=5x=−10
Solution
x1=−10,x2=5
Show Solution