Question
Factor the expression
Factor
(2y−7)(3y+1)
Evaluate
6y2−19y−7
Rewrite the expression
6y2+(2−21)y−7
Calculate
6y2+2y−21y−7
Rewrite the expression
2y×3y+2y−7×3y−7
Factor out 2y from the expression
2y(3y+1)−7×3y−7
Factor out −7 from the expression
2y(3y+1)−7(3y+1)
Solution
(2y−7)(3y+1)
Show Solution
Find the roots
Find the roots of the algebra expression
y1=−31,y2=27
Alternative Form
y1=−0.3˙,y2=3.5
Evaluate
6y2−19y−7
To find the roots of the expression,set the expression equal to 0
6y2−19y−7=0
Factor the expression
More Steps
Evaluate
6y2−19y−7
Rewrite the expression
6y2+(2−21)y−7
Calculate
6y2+2y−21y−7
Rewrite the expression
2y×3y+2y−7×3y−7
Factor out 2y from the expression
2y(3y+1)−7×3y−7
Factor out −7 from the expression
2y(3y+1)−7(3y+1)
Factor out 3y+1 from the expression
(2y−7)(3y+1)
(2y−7)(3y+1)=0
When the product of factors equals 0,at least one factor is 0
2y−7=03y+1=0
Solve the equation for y
More Steps
Evaluate
2y−7=0
Move the constant to the right-hand side and change its sign
2y=0+7
Removing 0 doesn't change the value,so remove it from the expression
2y=7
Divide both sides
22y=27
Divide the numbers
y=27
y=273y+1=0
Solve the equation for y
More Steps
Evaluate
3y+1=0
Move the constant to the right-hand side and change its sign
3y=0−1
Removing 0 doesn't change the value,so remove it from the expression
3y=−1
Divide both sides
33y=3−1
Divide the numbers
y=3−1
Use b−a=−ba=−ba to rewrite the fraction
y=−31
y=27y=−31
Solution
y1=−31,y2=27
Alternative Form
y1=−0.3˙,y2=3.5
Show Solution