Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(2x3+1)(3x3−4)
Evaluate
6x6−5x3−4
Rewrite the expression
6x6+(−8+3)x3−4
Calculate
6x6−8x3+3x3−4
Rewrite the expression
2x3×3x3−2x3×4+3x3−4
Factor out 2x3 from the expression
2x3(3x3−4)+3x3−4
Solution
(2x3+1)(3x3−4)
Show Solution
Find the roots
x1=−234,x2=3336
Alternative Form
x1≈−0.793701,x2≈1.100642
Evaluate
6x6−5x3−4
To find the roots of the expression,set the expression equal to 0
6x6−5x3−4=0
Factor the expression
(2x3+1)(3x3−4)=0
Separate the equation into 2 possible cases
2x3+1=03x3−4=0
Solve the equation
More Steps
Evaluate
2x3+1=0
Move the constant to the right-hand side and change its sign
2x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
2x3=−1
Divide both sides
22x3=2−1
Divide the numbers
x3=2−1
Use b−a=−ba=−ba to rewrite the fraction
x3=−21
Take the 3-th root on both sides of the equation
3x3=3−21
Calculate
x=3−21
Simplify the root
More Steps
Evaluate
3−21
An odd root of a negative radicand is always a negative
−321
To take a root of a fraction,take the root of the numerator and denominator separately
−3231
Simplify the radical expression
−321
Multiply by the Conjugate
32×322−322
Simplify
32×322−34
Multiply the numbers
2−34
Calculate
−234
x=−234
x=−2343x3−4=0
Solve the equation
More Steps
Evaluate
3x3−4=0
Move the constant to the right-hand side and change its sign
3x3=0+4
Removing 0 doesn't change the value,so remove it from the expression
3x3=4
Divide both sides
33x3=34
Divide the numbers
x3=34
Take the 3-th root on both sides of the equation
3x3=334
Calculate
x=334
Simplify the root
More Steps
Evaluate
334
To take a root of a fraction,take the root of the numerator and denominator separately
3334
Multiply by the Conjugate
33×33234×332
Simplify
33×33234×39
Multiply the numbers
33×332336
Multiply the numbers
3336
x=3336
x=−234x=3336
Solution
x1=−234,x2=3336
Alternative Form
x1≈−0.793701,x2≈1.100642
Show Solution