Question
Solve the equation
x=−6538450
Alternative Form
x≈−0.313357
Evaluate
−10x2×13x=4
Multiply
More Steps

Evaluate
−10x2×13x
Multiply the terms
−130x2×x
Multiply the terms with the same base by adding their exponents
−130x2+1
Add the numbers
−130x3
−130x3=4
Change the signs on both sides of the equation
130x3=−4
Divide both sides
130130x3=130−4
Divide the numbers
x3=130−4
Divide the numbers
More Steps

Evaluate
130−4
Cancel out the common factor 2
65−2
Use b−a=−ba=−ba to rewrite the fraction
−652
x3=−652
Take the 3-th root on both sides of the equation
3x3=3−652
Calculate
x=3−652
Solution
More Steps

Evaluate
3−652
An odd root of a negative radicand is always a negative
−3652
To take a root of a fraction,take the root of the numerator and denominator separately
−36532
Multiply by the Conjugate
365×3652−32×3652
Simplify
365×3652−32×34225
Multiply the numbers
More Steps

Evaluate
−32×34225
The product of roots with the same index is equal to the root of the product
−32×4225
Calculate the product
−38450
365×3652−38450
Multiply the numbers
More Steps

Evaluate
365×3652
The product of roots with the same index is equal to the root of the product
365×652
Calculate the product
3653
Reduce the index of the radical and exponent with 3
65
65−38450
Calculate
−6538450
x=−6538450
Alternative Form
x≈−0.313357
Show Solution
