Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−2x5−60x4−720x3−4320x2−12960x−15552
Evaluate
(−x−6)5×2
Use the commutative property to reorder the terms
2(−x−6)5
A negative base raised to an odd power equals a negative
2(−(x+6)5)
Rewrite the expression
−2(x+6)5
Expand the expression
−2(x5+30x4+360x3+2160x2+6480x+7776)
Apply the distributive property
−2x5−2×30x4−2×360x3−2×2160x2−2×6480x−2×7776
Multiply the numbers
−2x5−60x4−2×360x3−2×2160x2−2×6480x−2×7776
Multiply the numbers
−2x5−60x4−720x3−2×2160x2−2×6480x−2×7776
Multiply the numbers
−2x5−60x4−720x3−4320x2−2×6480x−2×7776
Multiply the numbers
−2x5−60x4−720x3−4320x2−12960x−2×7776
Solution
−2x5−60x4−720x3−4320x2−12960x−15552
Show Solution
Factor the expression
−2(x+6)5
Evaluate
(−x−6)5×2
Evaluate
−2x5−60x4−720x3−4320x2−12960x−15552
Solution
−2(x+6)5
Show Solution
Find the roots
x=−6
Evaluate
(−x−6)5×2
To find the roots of the expression,set the expression equal to 0
(−x−6)5×2=0
Use the commutative property to reorder the terms
2(−x−6)5=0
Rewrite the expression
(−x−6)5=0
The only way a power can be 0 is when the base equals 0
−x−6=0
Move the constant to the right-hand side and change its sign
−x=0+6
Removing 0 doesn't change the value,so remove it from the expression
−x=6
Solution
x=−6
Show Solution