Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(3y−2)(7y+1)
Evaluate
21y2−11y−2
Rewrite the expression
21y2+(3−14)y−2
Calculate
21y2+3y−14y−2
Rewrite the expression
3y×7y+3y−2×7y−2
Factor out 3y from the expression
3y(7y+1)−2×7y−2
Factor out −2 from the expression
3y(7y+1)−2(7y+1)
Solution
(3y−2)(7y+1)
Show Solution
Find the roots
y1=−71,y2=32
Alternative Form
y1=−0.1˙42857˙,y2=0.6˙
Evaluate
21y2−11y−2
To find the roots of the expression,set the expression equal to 0
21y2−11y−2=0
Factor the expression
More Steps
Evaluate
21y2−11y−2
Rewrite the expression
21y2+(3−14)y−2
Calculate
21y2+3y−14y−2
Rewrite the expression
3y×7y+3y−2×7y−2
Factor out 3y from the expression
3y(7y+1)−2×7y−2
Factor out −2 from the expression
3y(7y+1)−2(7y+1)
Factor out 7y+1 from the expression
(3y−2)(7y+1)
(3y−2)(7y+1)=0
When the product of factors equals 0,at least one factor is 0
3y−2=07y+1=0
Solve the equation for y
More Steps
Evaluate
3y−2=0
Move the constant to the right-hand side and change its sign
3y=0+2
Removing 0 doesn't change the value,so remove it from the expression
3y=2
Divide both sides
33y=32
Divide the numbers
y=32
y=327y+1=0
Solve the equation for y
More Steps
Evaluate
7y+1=0
Move the constant to the right-hand side and change its sign
7y=0−1
Removing 0 doesn't change the value,so remove it from the expression
7y=−1
Divide both sides
77y=7−1
Divide the numbers
y=7−1
Use b−a=−ba=−ba to rewrite the fraction
y=−71
y=32y=−71
Solution
y1=−71,y2=32
Alternative Form
y1=−0.1˙42857˙,y2=0.6˙
Show Solution