Question
Solve the equation
x=−2328
Alternative Form
x≈−1.518294
Evaluate
−x2×2x−2=5
Multiply
More Steps

Evaluate
−x2×2x
Multiply the terms with the same base by adding their exponents
−x2+1×2
Add the numbers
−x3×2
Use the commutative property to reorder the terms
−2x3
−2x3−2=5
Move the constant to the right-hand side and change its sign
−2x3=5+2
Add the numbers
−2x3=7
Change the signs on both sides of the equation
2x3=−7
Divide both sides
22x3=2−7
Divide the numbers
x3=2−7
Use b−a=−ba=−ba to rewrite the fraction
x3=−27
Take the 3-th root on both sides of the equation
3x3=3−27
Calculate
x=3−27
Solution
More Steps

Evaluate
3−27
An odd root of a negative radicand is always a negative
−327
To take a root of a fraction,take the root of the numerator and denominator separately
−3237
Multiply by the Conjugate
32×322−37×322
Simplify
32×322−37×34
Multiply the numbers
More Steps

Evaluate
−37×34
The product of roots with the same index is equal to the root of the product
−37×4
Calculate the product
−328
32×322−328
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2−328
Calculate
−2328
x=−2328
Alternative Form
x≈−1.518294
Show Solution
