Question
Factor the expression
Factor
3(b−3)(2b−5)
Evaluate
6b2−33b+45
Rewrite the expression
3×2b2−3×11b+3×15
Factor out 3 from the expression
3(2b2−11b+15)
Solution
More Steps
Evaluate
2b2−11b+15
Rewrite the expression
2b2+(−5−6)b+15
Calculate
2b2−5b−6b+15
Rewrite the expression
b×2b−b×5−3×2b+3×5
Factor out b from the expression
b(2b−5)−3×2b+3×5
Factor out −3 from the expression
b(2b−5)−3(2b−5)
Factor out 2b−5 from the expression
(b−3)(2b−5)
3(b−3)(2b−5)
Show Solution
Find the roots
Find the roots of the algebra expression
b1=25,b2=3
Alternative Form
b1=2.5,b2=3
Evaluate
6b2−33b+45
To find the roots of the expression,set the expression equal to 0
6b2−33b+45=0
Factor the expression
More Steps
Evaluate
6b2−33b+45
Rewrite the expression
3×2b2−3×11b+3×15
Factor out 3 from the expression
3(2b2−11b+15)
Factor the expression
More Steps
Evaluate
2b2−11b+15
Rewrite the expression
2b2+(−5−6)b+15
Calculate
2b2−5b−6b+15
Rewrite the expression
b×2b−b×5−3×2b+3×5
Factor out b from the expression
b(2b−5)−3×2b+3×5
Factor out −3 from the expression
b(2b−5)−3(2b−5)
Factor out 2b−5 from the expression
(b−3)(2b−5)
3(b−3)(2b−5)
3(b−3)(2b−5)=0
Divide the terms
(b−3)(2b−5)=0
When the product of factors equals 0,at least one factor is 0
b−3=02b−5=0
Solve the equation for b
More Steps
Evaluate
b−3=0
Move the constant to the right-hand side and change its sign
b=0+3
Removing 0 doesn't change the value,so remove it from the expression
b=3
b=32b−5=0
Solve the equation for b
More Steps
Evaluate
2b−5=0
Move the constant to the right-hand side and change its sign
2b=0+5
Removing 0 doesn't change the value,so remove it from the expression
2b=5
Divide both sides
22b=25
Divide the numbers
b=25
b=3b=25
Solution
b1=25,b2=3
Alternative Form
b1=2.5,b2=3
Show Solution