Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
16x2−17856x5
Evaluate
16x2−192x5×93
Solution
16x2−17856x5
Show Solution
Factor the expression
16x2(1−1116x3)
Evaluate
16x2−192x5×93
Multiply the terms
16x2−17856x5
Rewrite the expression
16x2−16x2×1116x3
Solution
16x2(1−1116x3)
Show Solution
Find the roots
x1=0,x2=1116311162
Alternative Form
x1=0,x2≈0.096408
Evaluate
16x2−192x5×93
To find the roots of the expression,set the expression equal to 0
16x2−192x5×93=0
Multiply the terms
16x2−17856x5=0
Factor the expression
16x2(1−1116x3)=0
Divide both sides
x2(1−1116x3)=0
Separate the equation into 2 possible cases
x2=01−1116x3=0
The only way a power can be 0 is when the base equals 0
x=01−1116x3=0
Solve the equation
More Steps
Evaluate
1−1116x3=0
Move the constant to the right-hand side and change its sign
−1116x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−1116x3=−1
Change the signs on both sides of the equation
1116x3=1
Divide both sides
11161116x3=11161
Divide the numbers
x3=11161
Take the 3-th root on both sides of the equation
3x3=311161
Calculate
x=311161
Simplify the root
More Steps
Evaluate
311161
To take a root of a fraction,take the root of the numerator and denominator separately
3111631
Simplify the radical expression
311161
Multiply by the Conjugate
31116×311162311162
Multiply the numbers
1116311162
x=1116311162
x=0x=1116311162
Solution
x1=0,x2=1116311162
Alternative Form
x1=0,x2≈0.096408
Show Solution