Question
Solve the equation
x=−103550
Alternative Form
x≈−0.819321
Evaluate
−2x2×10x−11=0
Multiply
More Steps

Evaluate
−2x2×10x
Multiply the terms
−20x2×x
Multiply the terms with the same base by adding their exponents
−20x2+1
Add the numbers
−20x3
−20x3−11=0
Move the constant to the right-hand side and change its sign
−20x3=0+11
Removing 0 doesn't change the value,so remove it from the expression
−20x3=11
Change the signs on both sides of the equation
20x3=−11
Divide both sides
2020x3=20−11
Divide the numbers
x3=20−11
Use b−a=−ba=−ba to rewrite the fraction
x3=−2011
Take the 3-th root on both sides of the equation
3x3=3−2011
Calculate
x=3−2011
Solution
More Steps

Evaluate
3−2011
An odd root of a negative radicand is always a negative
−32011
To take a root of a fraction,take the root of the numerator and denominator separately
−320311
Multiply by the Conjugate
320×3202−311×3202
Simplify
320×3202−311×2350
Multiply the numbers
More Steps

Evaluate
−311×2350
Multiply the terms
−3550×2
Use the commutative property to reorder the terms
−23550
320×3202−23550
Multiply the numbers
More Steps

Evaluate
320×3202
The product of roots with the same index is equal to the root of the product
320×202
Calculate the product
3203
Reduce the index of the radical and exponent with 3
20
20−23550
Cancel out the common factor 2
10−3550
Calculate
−103550
x=−103550
Alternative Form
x≈−0.819321
Show Solution
