Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(2y−3)(4y+1)
Evaluate
8y2−10y−3
Rewrite the expression
8y2+(2−12)y−3
Calculate
8y2+2y−12y−3
Rewrite the expression
2y×4y+2y−3×4y−3
Factor out 2y from the expression
2y(4y+1)−3×4y−3
Factor out −3 from the expression
2y(4y+1)−3(4y+1)
Solution
(2y−3)(4y+1)
Show Solution
Find the roots
y1=−41,y2=23
Alternative Form
y1=−0.25,y2=1.5
Evaluate
8y2−10y−3
To find the roots of the expression,set the expression equal to 0
8y2−10y−3=0
Factor the expression
More Steps
Evaluate
8y2−10y−3
Rewrite the expression
8y2+(2−12)y−3
Calculate
8y2+2y−12y−3
Rewrite the expression
2y×4y+2y−3×4y−3
Factor out 2y from the expression
2y(4y+1)−3×4y−3
Factor out −3 from the expression
2y(4y+1)−3(4y+1)
Factor out 4y+1 from the expression
(2y−3)(4y+1)
(2y−3)(4y+1)=0
When the product of factors equals 0,at least one factor is 0
2y−3=04y+1=0
Solve the equation for y
More Steps
Evaluate
2y−3=0
Move the constant to the right-hand side and change its sign
2y=0+3
Removing 0 doesn't change the value,so remove it from the expression
2y=3
Divide both sides
22y=23
Divide the numbers
y=23
y=234y+1=0
Solve the equation for y
More Steps
Evaluate
4y+1=0
Move the constant to the right-hand side and change its sign
4y=0−1
Removing 0 doesn't change the value,so remove it from the expression
4y=−1
Divide both sides
44y=4−1
Divide the numbers
y=4−1
Use b−a=−ba=−ba to rewrite the fraction
y=−41
y=23y=−41
Solution
y1=−41,y2=23
Alternative Form
y1=−0.25,y2=1.5
Show Solution