Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
90b4−6b
Evaluate
b4×90−6b
Solution
90b4−6b
Show Solution
Factor the expression
6b(15b3−1)
Evaluate
b4×90−6b
Use the commutative property to reorder the terms
90b4−6b
Rewrite the expression
6b×15b3−6b
Solution
6b(15b3−1)
Show Solution
Find the roots
b1=0,b2=153225
Alternative Form
b1=0,b2≈0.40548
Evaluate
b4×90−6b
To find the roots of the expression,set the expression equal to 0
b4×90−6b=0
Use the commutative property to reorder the terms
90b4−6b=0
Factor the expression
6b(15b3−1)=0
Divide both sides
b(15b3−1)=0
Separate the equation into 2 possible cases
b=015b3−1=0
Solve the equation
More Steps
Evaluate
15b3−1=0
Move the constant to the right-hand side and change its sign
15b3=0+1
Removing 0 doesn't change the value,so remove it from the expression
15b3=1
Divide both sides
1515b3=151
Divide the numbers
b3=151
Take the 3-th root on both sides of the equation
3b3=3151
Calculate
b=3151
Simplify the root
More Steps
Evaluate
3151
To take a root of a fraction,take the root of the numerator and denominator separately
31531
Simplify the radical expression
3151
Multiply by the Conjugate
315×31523152
Simplify
315×31523225
Multiply the numbers
153225
b=153225
b=0b=153225
Solution
b1=0,b2=153225
Alternative Form
b1=0,b2≈0.40548
Show Solution