Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
45x4−24x
Evaluate
45x4−3x×8
Solution
45x4−24x
Show Solution
Factor the expression
3x(15x3−8)
Evaluate
45x4−3x×8
Multiply the terms
45x4−24x
Rewrite the expression
3x×15x3−3x×8
Solution
3x(15x3−8)
Show Solution
Find the roots
x1=0,x2=1523225
Alternative Form
x1=0,x2≈0.81096
Evaluate
(45x4)−3x×8
To find the roots of the expression,set the expression equal to 0
(45x4)−3x×8=0
Multiply the terms
45x4−3x×8=0
Multiply the terms
45x4−24x=0
Factor the expression
3x(15x3−8)=0
Divide both sides
x(15x3−8)=0
Separate the equation into 2 possible cases
x=015x3−8=0
Solve the equation
More Steps
Evaluate
15x3−8=0
Move the constant to the right-hand side and change its sign
15x3=0+8
Removing 0 doesn't change the value,so remove it from the expression
15x3=8
Divide both sides
1515x3=158
Divide the numbers
x3=158
Take the 3-th root on both sides of the equation
3x3=3158
Calculate
x=3158
Simplify the root
More Steps
Evaluate
3158
To take a root of a fraction,take the root of the numerator and denominator separately
31538
Simplify the radical expression
3152
Multiply by the Conjugate
315×315223152
Simplify
315×315223225
Multiply the numbers
1523225
x=1523225
x=0x=1523225
Solution
x1=0,x2=1523225
Alternative Form
x1=0,x2≈0.81096
Show Solution