Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−10)(x+5)
Evaluate
x2−5x−50
Rewrite the expression
x2+(5−10)x−50
Calculate
x2+5x−10x−50
Rewrite the expression
x×x+x×5−10x−10×5
Factor out x from the expression
x(x+5)−10x−10×5
Factor out −10 from the expression
x(x+5)−10(x+5)
Solution
(x−10)(x+5)
Show Solution
Find the roots
x1=−5,x2=10
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+(5−10)x−50
Calculate
x2+5x−10x−50
Rewrite the expression
x×x+x×5−10x−10×5
Factor out x from the expression
x(x+5)−10x−10×5
Factor out −10 from the expression
x(x+5)−10(x+5)
Factor out x+5 from the expression
(x−10)(x+5)
(x−10)(x+5)=0
When the product of factors equals 0,at least one factor is 0
x−10=0x+5=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=10x+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=10x=−5
Solution
x1=−5,x2=10
Show Solution