Question
Solve the equation
x=−5325
Alternative Form
x≈−0.584804
Evaluate
−x2×5x−1=0
Multiply
More Steps

Evaluate
−x2×5x
Multiply the terms with the same base by adding their exponents
−x2+1×5
Add the numbers
−x3×5
Use the commutative property to reorder the terms
−5x3
−5x3−1=0
Move the constant to the right-hand side and change its sign
−5x3=0+1
Removing 0 doesn't change the value,so remove it from the expression
−5x3=1
Change the signs on both sides of the equation
5x3=−1
Divide both sides
55x3=5−1
Divide the numbers
x3=5−1
Use b−a=−ba=−ba to rewrite the fraction
x3=−51
Take the 3-th root on both sides of the equation
3x3=3−51
Calculate
x=3−51
Solution
More Steps

Evaluate
3−51
An odd root of a negative radicand is always a negative
−351
To take a root of a fraction,take the root of the numerator and denominator separately
−3531
Simplify the radical expression
−351
Multiply by the Conjugate
35×352−352
Simplify
35×352−325
Multiply the numbers
More Steps

Evaluate
35×352
The product of roots with the same index is equal to the root of the product
35×52
Calculate the product
353
Reduce the index of the radical and exponent with 3
5
5−325
Calculate
−5325
x=−5325
Alternative Form
x≈−0.584804
Show Solution
