Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
16x2−320x+25600
Evaluate
(4x−40)2
Subtract the terms
More Steps
Simplify
4x−40
Reduce fractions to a common denominator
4x−440×4
Write all numerators above the common denominator
4x−40×4
Multiply the numbers
4x−160
(4x−160)2
Rewrite the expression
42(x−160)2
Simplify
16(x−160)2
Solution
More Steps
Evaluate
(x−160)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×160+1602
Calculate
x2−320x+25600
16x2−320x+25600
Show Solution
Find the roots
x=160
Evaluate
(4x−40)2
To find the roots of the expression,set the expression equal to 0
(4x−40)2=0
Subtract the terms
More Steps
Simplify
4x−40
Reduce fractions to a common denominator
4x−440×4
Write all numerators above the common denominator
4x−40×4
Multiply the numbers
4x−160
(4x−160)2=0
The only way a power can be 0 is when the base equals 0
4x−160=0
Simplify
x−160=0
Move the constant to the right side
x=0+160
Solution
x=160
Show Solution