Question
Factor the expression
(x−10)(5x+34)
Evaluate
5x2−16x−340
Rewrite the expression
5x2+(34−50)x−340
Calculate
5x2+34x−50x−340
Rewrite the expression
x×5x+x×34−10×5x−10×34
Factor out x from the expression
x(5x+34)−10×5x−10×34
Factor out −10 from the expression
x(5x+34)−10(5x+34)
Solution
(x−10)(5x+34)
Show Solution

Find the roots
x1=−534,x2=10
Alternative Form
x1=−6.8,x2=10
Evaluate
5x2−16x−340
To find the roots of the expression,set the expression equal to 0
5x2−16x−340=0
Factor the expression
More Steps

Evaluate
5x2−16x−340
Rewrite the expression
5x2+(34−50)x−340
Calculate
5x2+34x−50x−340
Rewrite the expression
x×5x+x×34−10×5x−10×34
Factor out x from the expression
x(5x+34)−10×5x−10×34
Factor out −10 from the expression
x(5x+34)−10(5x+34)
Factor out 5x+34 from the expression
(x−10)(5x+34)
(x−10)(5x+34)=0
When the product of factors equals 0,at least one factor is 0
x−10=05x+34=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=105x+34=0
Solve the equation for x
More Steps

Evaluate
5x+34=0
Move the constant to the right-hand side and change its sign
5x=0−34
Removing 0 doesn't change the value,so remove it from the expression
5x=−34
Divide both sides
55x=5−34
Divide the numbers
x=5−34
Use b−a=−ba=−ba to rewrite the fraction
x=−534
x=10x=−534
Solution
x1=−534,x2=10
Alternative Form
x1=−6.8,x2=10
Show Solution
