Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
89x3−54x2−20x−72
Evaluate
(36×32(x−2)3)−16x
Multiply the terms
More Steps
Multiply the terms
36×32(x−2)3
Cancel out the common factor 4
9×8(x−2)3
Multiply the terms
89(x−2)3
89(x−2)3−16x
Reduce fractions to a common denominator
89(x−2)3−816x×8
Write all numerators above the common denominator
89(x−2)3−16x×8
Expand the expression
More Steps
Evaluate
9(x−2)3
Expand the expression
More Steps
Evaluate
(x−2)3
Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression
x3−3x2×2+3x×22−23
Calculate
x3−6x2+12x−8
9(x3−6x2+12x−8)
Apply the distributive property
9x3−9×6x2+9×12x−9×8
Multiply the numbers
9x3−54x2+9×12x−9×8
Multiply the numbers
9x3−54x2+108x−9×8
Multiply the numbers
9x3−54x2+108x−72
89x3−54x2+108x−72−16x×8
Multiply the terms
89x3−54x2+108x−72−128x
Solution
More Steps
Evaluate
108x−128x
Collect like terms by calculating the sum or difference of their coefficients
(108−128)x
Subtract the numbers
−20x
89x3−54x2−20x−72
Show Solution
Find the roots
x≈6.528128
Evaluate
(36×32(x−2)3)−16x
To find the roots of the expression,set the expression equal to 0
(36×32(x−2)3)−16x=0
Multiply the terms
More Steps
Multiply the terms
36×32(x−2)3
Cancel out the common factor 4
9×8(x−2)3
Multiply the terms
89(x−2)3
89(x−2)3−16x=0
Subtract the terms
More Steps
Simplify
89(x−2)3−16x
Reduce fractions to a common denominator
89(x−2)3−816x×8
Write all numerators above the common denominator
89(x−2)3−16x×8
Expand the expression
More Steps
Evaluate
9(x−2)3
Expand the expression
9(x3−6x2+12x−8)
Apply the distributive property
9x3−9×6x2+9×12x−9×8
Multiply the numbers
9x3−54x2+9×12x−9×8
Multiply the numbers
9x3−54x2+108x−9×8
Multiply the numbers
9x3−54x2+108x−72
89x3−54x2+108x−72−16x×8
Multiply the terms
89x3−54x2+108x−72−128x
Subtract the terms
More Steps
Evaluate
108x−128x
Collect like terms by calculating the sum or difference of their coefficients
(108−128)x
Subtract the numbers
−20x
89x3−54x2−20x−72
89x3−54x2−20x−72=0
Simplify
9x3−54x2−20x−72=0
Solution
x≈6.528128
Show Solution