Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(4w−9)(5w+7)
Evaluate
20w2−17w−63
Rewrite the expression
20w2+(28−45)w−63
Calculate
20w2+28w−45w−63
Rewrite the expression
4w×5w+4w×7−9×5w−9×7
Factor out 4w from the expression
4w(5w+7)−9×5w−9×7
Factor out −9 from the expression
4w(5w+7)−9(5w+7)
Solution
(4w−9)(5w+7)
Show Solution
Find the roots
w1=−57,w2=49
Alternative Form
w1=−1.4,w2=2.25
Evaluate
20w2−17w−63
To find the roots of the expression,set the expression equal to 0
20w2−17w−63=0
Factor the expression
More Steps
Evaluate
20w2−17w−63
Rewrite the expression
20w2+(28−45)w−63
Calculate
20w2+28w−45w−63
Rewrite the expression
4w×5w+4w×7−9×5w−9×7
Factor out 4w from the expression
4w(5w+7)−9×5w−9×7
Factor out −9 from the expression
4w(5w+7)−9(5w+7)
Factor out 5w+7 from the expression
(4w−9)(5w+7)
(4w−9)(5w+7)=0
When the product of factors equals 0,at least one factor is 0
4w−9=05w+7=0
Solve the equation for w
More Steps
Evaluate
4w−9=0
Move the constant to the right-hand side and change its sign
4w=0+9
Removing 0 doesn't change the value,so remove it from the expression
4w=9
Divide both sides
44w=49
Divide the numbers
w=49
w=495w+7=0
Solve the equation for w
More Steps
Evaluate
5w+7=0
Move the constant to the right-hand side and change its sign
5w=0−7
Removing 0 doesn't change the value,so remove it from the expression
5w=−7
Divide both sides
55w=5−7
Divide the numbers
w=5−7
Use b−a=−ba=−ba to rewrite the fraction
w=−57
w=49w=−57
Solution
w1=−57,w2=49
Alternative Form
w1=−1.4,w2=2.25
Show Solution