Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
64m2+608m+1440
Evaluate
(−8m−38)2−4
Expand the expression
64m2+608m+1444−4
Solution
64m2+608m+1440
Show Solution
Factor the expression
32(2m+9)(m+5)
Evaluate
(−8m−38)2−4
Evaluate
(8m+38)2−4
Factor out 4 from the expression
4((4m+19)2−1)
Factor the expression
More Steps
Evaluate
(4m+19)2−1
Rewrite the expression in exponential form
(4m+19)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(4m+19−1)(4m+19+1)
Evaluate
(4m+18)(4m+19+1)
Evaluate
(4m+18)(4m+20)
4(4m+18)(4m+20)
Solution
32(2m+9)(m+5)
Show Solution
Find the roots
m1=−5,m2=−29
Alternative Form
m1=−5,m2=−4.5
Evaluate
(−8m−38)2−4
To find the roots of the expression,set the expression equal to 0
(−8m−38)2−4=0
Move the constant to the right-hand side and change its sign
(−8m−38)2=0+4
Removing 0 doesn't change the value,so remove it from the expression
(−8m−38)2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
−8m−38=±4
Simplify the expression
More Steps
Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
−8m−38=±2
Separate the equation into 2 possible cases
−8m−38=2−8m−38=−2
Calculate
More Steps
Evaluate
−8m−38=2
Move the constant to the right-hand side and change its sign
−8m=2+38
Add the numbers
−8m=40
Change the signs on both sides of the equation
8m=−40
Divide both sides
88m=8−40
Divide the numbers
m=8−40
Divide the numbers
More Steps
Evaluate
8−40
Reduce the numbers
1−5
Calculate
−5
m=−5
m=−5−8m−38=−2
Calculate
More Steps
Evaluate
−8m−38=−2
Move the constant to the right-hand side and change its sign
−8m=−2+38
Add the numbers
−8m=36
Change the signs on both sides of the equation
8m=−36
Divide both sides
88m=8−36
Divide the numbers
m=8−36
Divide the numbers
More Steps
Evaluate
8−36
Cancel out the common factor 4
2−9
Use b−a=−ba=−ba to rewrite the fraction
−29
m=−29
m=−5m=−29
Solution
m1=−5,m2=−29
Alternative Form
m1=−5,m2=−4.5
Show Solution