Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−(b+1)(2b−1)
Evaluate
−2b2−b+1
Rewrite the expression
−2b2+(1−2)b+1
Calculate
−2b2+b−2b+1
Rewrite the expression
−b×2b+b−2b+1
Factor out −b from the expression
−b(2b−1)−2b+1
Factor out −1 from the expression
−b(2b−1)−(2b−1)
Factor out 2b−1 from the expression
(−b−1)(2b−1)
Solution
−(b+1)(2b−1)
Show Solution
Find the roots
b1=−1,b2=21
Alternative Form
b1=−1,b2=0.5
Evaluate
−2b2−b+1
To find the roots of the expression,set the expression equal to 0
−2b2−b+1=0
Factor the expression
More Steps
Evaluate
−2b2−b+1
Rewrite the expression
−2b2+(1−2)b+1
Calculate
−2b2+b−2b+1
Rewrite the expression
−b×2b+b−2b+1
Factor out −b from the expression
−b(2b−1)−2b+1
Factor out −1 from the expression
−b(2b−1)−(2b−1)
Factor out 2b−1 from the expression
(−b−1)(2b−1)
(−b−1)(2b−1)=0
When the product of factors equals 0,at least one factor is 0
−b−1=02b−1=0
Solve the equation for b
More Steps
Evaluate
−b−1=0
Move the constant to the right-hand side and change its sign
−b=0+1
Removing 0 doesn't change the value,so remove it from the expression
−b=1
Change the signs on both sides of the equation
b=−1
b=−12b−1=0
Solve the equation for b
More Steps
Evaluate
2b−1=0
Move the constant to the right-hand side and change its sign
2b=0+1
Removing 0 doesn't change the value,so remove it from the expression
2b=1
Divide both sides
22b=21
Divide the numbers
b=21
b=−1b=21
Solution
b1=−1,b2=21
Alternative Form
b1=−1,b2=0.5
Show Solution