Question
Factor the expression
Factor
(x−10)(11x+12)
Evaluate
11x2−98x−120
Rewrite the expression
11x2+(12−110)x−120
Calculate
11x2+12x−110x−120
Rewrite the expression
x×11x+x×12−10×11x−10×12
Factor out x from the expression
x(11x+12)−10×11x−10×12
Factor out −10 from the expression
x(11x+12)−10(11x+12)
Solution
(x−10)(11x+12)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−1112,x2=10
Alternative Form
x1=−1.0˙9˙,x2=10
Evaluate
11x2−98x−120
To find the roots of the expression,set the expression equal to 0
11x2−98x−120=0
Factor the expression
More Steps
Evaluate
11x2−98x−120
Rewrite the expression
11x2+(12−110)x−120
Calculate
11x2+12x−110x−120
Rewrite the expression
x×11x+x×12−10×11x−10×12
Factor out x from the expression
x(11x+12)−10×11x−10×12
Factor out −10 from the expression
x(11x+12)−10(11x+12)
Factor out 11x+12 from the expression
(x−10)(11x+12)
(x−10)(11x+12)=0
When the product of factors equals 0,at least one factor is 0
x−10=011x+12=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=1011x+12=0
Solve the equation for x
More Steps
Evaluate
11x+12=0
Move the constant to the right-hand side and change its sign
11x=0−12
Removing 0 doesn't change the value,so remove it from the expression
11x=−12
Divide both sides
1111x=11−12
Divide the numbers
x=11−12
Use b−a=−ba=−ba to rewrite the fraction
x=−1112
x=10x=−1112
Solution
x1=−1112,x2=10
Alternative Form
x1=−1.0˙9˙,x2=10
Show Solution