Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
54x2−468x5
Evaluate
54x2−117x5×4
Solution
54x2−468x5
Show Solution
Factor the expression
18x2(3−26x3)
Evaluate
54x2−117x5×4
Multiply the terms
54x2−468x5
Rewrite the expression
18x2×3−18x2×26x3
Solution
18x2(3−26x3)
Show Solution
Find the roots
x1=0,x2=2632028
Alternative Form
x1=0,x2≈0.486836
Evaluate
54x2−117x5×4
To find the roots of the expression,set the expression equal to 0
54x2−117x5×4=0
Multiply the terms
54x2−468x5=0
Factor the expression
18x2(3−26x3)=0
Divide both sides
x2(3−26x3)=0
Separate the equation into 2 possible cases
x2=03−26x3=0
The only way a power can be 0 is when the base equals 0
x=03−26x3=0
Solve the equation
More Steps
Evaluate
3−26x3=0
Move the constant to the right-hand side and change its sign
−26x3=0−3
Removing 0 doesn't change the value,so remove it from the expression
−26x3=−3
Change the signs on both sides of the equation
26x3=3
Divide both sides
2626x3=263
Divide the numbers
x3=263
Take the 3-th root on both sides of the equation
3x3=3263
Calculate
x=3263
Simplify the root
More Steps
Evaluate
3263
To take a root of a fraction,take the root of the numerator and denominator separately
32633
Multiply by the Conjugate
326×326233×3262
Simplify
326×326233×3676
Multiply the numbers
326×326232028
Multiply the numbers
2632028
x=2632028
x=0x=2632028
Solution
x1=0,x2=2632028
Alternative Form
x1=0,x2≈0.486836
Show Solution