Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−9x2−36x5
Evaluate
−9x2−9x5×4
Solution
−9x2−36x5
Show Solution
Factor the expression
−9x2(1+4x3)
Evaluate
−9x2−9x5×4
Multiply the terms
−9x2−36x5
Rewrite the expression
−9x2−9x2×4x3
Solution
−9x2(1+4x3)
Show Solution
Find the roots
x1=−232,x2=0
Alternative Form
x1≈−0.629961,x2=0
Evaluate
−9x2−9x5×4
To find the roots of the expression,set the expression equal to 0
−9x2−9x5×4=0
Multiply the terms
−9x2−36x5=0
Factor the expression
−9x2(1+4x3)=0
Divide both sides
x2(1+4x3)=0
Separate the equation into 2 possible cases
x2=01+4x3=0
The only way a power can be 0 is when the base equals 0
x=01+4x3=0
Solve the equation
More Steps
Evaluate
1+4x3=0
Move the constant to the right-hand side and change its sign
4x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
4x3=−1
Divide both sides
44x3=4−1
Divide the numbers
x3=4−1
Use b−a=−ba=−ba to rewrite the fraction
x3=−41
Take the 3-th root on both sides of the equation
3x3=3−41
Calculate
x=3−41
Simplify the root
More Steps
Evaluate
3−41
An odd root of a negative radicand is always a negative
−341
To take a root of a fraction,take the root of the numerator and denominator separately
−3431
Simplify the radical expression
−341
Multiply by the Conjugate
34×342−342
Simplify
34×342−232
Multiply the numbers
22−232
Reduce the fraction
2−32
Calculate
−232
x=−232
x=0x=−232
Solution
x1=−232,x2=0
Alternative Form
x1≈−0.629961,x2=0
Show Solution