Question
Solve the equation
x=−2315
Alternative Form
x≈−1.233106
Evaluate
−x2×8x−15=0
Multiply
More Steps

Evaluate
−x2×8x
Multiply the terms with the same base by adding their exponents
−x2+1×8
Add the numbers
−x3×8
Use the commutative property to reorder the terms
−8x3
−8x3−15=0
Move the constant to the right-hand side and change its sign
−8x3=0+15
Removing 0 doesn't change the value,so remove it from the expression
−8x3=15
Change the signs on both sides of the equation
8x3=−15
Divide both sides
88x3=8−15
Divide the numbers
x3=8−15
Use b−a=−ba=−ba to rewrite the fraction
x3=−815
Take the 3-th root on both sides of the equation
3x3=3−815
Calculate
x=3−815
Solution
More Steps

Evaluate
3−815
An odd root of a negative radicand is always a negative
−3815
To take a root of a fraction,take the root of the numerator and denominator separately
−38315
Simplify the radical expression
More Steps

Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
−2315
x=−2315
Alternative Form
x≈−1.233106
Show Solution
