Question
Simplify the expression
484x2+2376x+2916
Evaluate
(−11x−27)2×4
Use the commutative property to reorder the terms
4(−11x−27)2
A negative base raised to an even power equals a positive
4(11x+27)2
Expand the expression
More Steps

Evaluate
(11x+27)2
Use (a+b)2=a2+2ab+b2 to expand the expression
(11x)2+2×11x×27+272
Calculate
121x2+594x+729
4(121x2+594x+729)
Apply the distributive property
4×121x2+4×594x+4×729
Multiply the numbers
484x2+4×594x+4×729
Multiply the numbers
484x2+2376x+4×729
Solution
484x2+2376x+2916
Show Solution

Find the roots
x=−1127
Alternative Form
x=−2.4˙5˙
Evaluate
(−11x−27)2×4
To find the roots of the expression,set the expression equal to 0
(−11x−27)2×4=0
Use the commutative property to reorder the terms
4(−11x−27)2=0
Rewrite the expression
(−11x−27)2=0
The only way a power can be 0 is when the base equals 0
−11x−27=0
Move the constant to the right-hand side and change its sign
−11x=0+27
Removing 0 doesn't change the value,so remove it from the expression
−11x=27
Change the signs on both sides of the equation
11x=−27
Divide both sides
1111x=11−27
Divide the numbers
x=11−27
Solution
x=−1127
Alternative Form
x=−2.4˙5˙
Show Solution
