Question
Solve the equation
x=−14398
Alternative Form
x≈−0.329317
Evaluate
8x2×7x=−2
Multiply
More Steps

Evaluate
8x2×7x
Multiply the terms
56x2×x
Multiply the terms with the same base by adding their exponents
56x2+1
Add the numbers
56x3
56x3=−2
Divide both sides
5656x3=56−2
Divide the numbers
x3=56−2
Divide the numbers
More Steps

Evaluate
56−2
Cancel out the common factor 2
28−1
Use b−a=−ba=−ba to rewrite the fraction
−281
x3=−281
Take the 3-th root on both sides of the equation
3x3=3−281
Calculate
x=3−281
Solution
More Steps

Evaluate
3−281
An odd root of a negative radicand is always a negative
−3281
To take a root of a fraction,take the root of the numerator and denominator separately
−32831
Simplify the radical expression
−3281
Multiply by the Conjugate
328×3282−3282
Simplify
328×3282−2398
Multiply the numbers
More Steps

Evaluate
328×3282
The product of roots with the same index is equal to the root of the product
328×282
Calculate the product
3283
Reduce the index of the radical and exponent with 3
28
28−2398
Cancel out the common factor 2
14−398
Calculate
−14398
x=−14398
Alternative Form
x≈−0.329317
Show Solution
