Question
Simplify the expression
−4x2−5x5
Evaluate
−4x2−5x3×x2
Solution
More Steps

Evaluate
5x3×x2
Multiply the terms with the same base by adding their exponents
5x3+2
Add the numbers
5x5
−4x2−5x5
Show Solution

Factor the expression
−x2(4+5x3)
Evaluate
−4x2−5x3×x2
Multiply
More Steps

Evaluate
5x3×x2
Multiply the terms with the same base by adding their exponents
5x3+2
Add the numbers
5x5
−4x2−5x5
Rewrite the expression
−x2×4−x2×5x3
Solution
−x2(4+5x3)
Show Solution

Find the roots
x1=−53100,x2=0
Alternative Form
x1≈−0.928318,x2=0
Evaluate
−4x2−5(x3)x2
To find the roots of the expression,set the expression equal to 0
−4x2−5(x3)x2=0
Calculate
−4x2−5x3×x2=0
Multiply
More Steps

Multiply the terms
5x3×x2
Multiply the terms with the same base by adding their exponents
5x3+2
Add the numbers
5x5
−4x2−5x5=0
Factor the expression
−x2(4+5x3)=0
Divide both sides
x2(4+5x3)=0
Separate the equation into 2 possible cases
x2=04+5x3=0
The only way a power can be 0 is when the base equals 0
x=04+5x3=0
Solve the equation
More Steps

Evaluate
4+5x3=0
Move the constant to the right-hand side and change its sign
5x3=0−4
Removing 0 doesn't change the value,so remove it from the expression
5x3=−4
Divide both sides
55x3=5−4
Divide the numbers
x3=5−4
Use b−a=−ba=−ba to rewrite the fraction
x3=−54
Take the 3-th root on both sides of the equation
3x3=3−54
Calculate
x=3−54
Simplify the root
More Steps

Evaluate
3−54
An odd root of a negative radicand is always a negative
−354
To take a root of a fraction,take the root of the numerator and denominator separately
−3534
Multiply by the Conjugate
35×352−34×352
Simplify
35×352−34×325
Multiply the numbers
35×352−3100
Multiply the numbers
5−3100
Calculate
−53100
x=−53100
x=0x=−53100
Solution
x1=−53100,x2=0
Alternative Form
x1≈−0.928318,x2=0
Show Solution
