Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(y−2)(5y+4)
Evaluate
5y2−6y−8
Rewrite the expression
5y2+(4−10)y−8
Calculate
5y2+4y−10y−8
Rewrite the expression
y×5y+y×4−2×5y−2×4
Factor out y from the expression
y(5y+4)−2×5y−2×4
Factor out −2 from the expression
y(5y+4)−2(5y+4)
Solution
(y−2)(5y+4)
Show Solution
Find the roots
y1=−54,y2=2
Alternative Form
y1=−0.8,y2=2
Evaluate
5y2−6y−8
To find the roots of the expression,set the expression equal to 0
5y2−6y−8=0
Factor the expression
More Steps
Evaluate
5y2−6y−8
Rewrite the expression
5y2+(4−10)y−8
Calculate
5y2+4y−10y−8
Rewrite the expression
y×5y+y×4−2×5y−2×4
Factor out y from the expression
y(5y+4)−2×5y−2×4
Factor out −2 from the expression
y(5y+4)−2(5y+4)
Factor out 5y+4 from the expression
(y−2)(5y+4)
(y−2)(5y+4)=0
When the product of factors equals 0,at least one factor is 0
y−2=05y+4=0
Solve the equation for y
More Steps
Evaluate
y−2=0
Move the constant to the right-hand side and change its sign
y=0+2
Removing 0 doesn't change the value,so remove it from the expression
y=2
y=25y+4=0
Solve the equation for y
More Steps
Evaluate
5y+4=0
Move the constant to the right-hand side and change its sign
5y=0−4
Removing 0 doesn't change the value,so remove it from the expression
5y=−4
Divide both sides
55y=5−4
Divide the numbers
y=5−4
Use b−a=−ba=−ba to rewrite the fraction
y=−54
y=2y=−54
Solution
y1=−54,y2=2
Alternative Form
y1=−0.8,y2=2
Show Solution