Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=−3330
Alternative Form
x≈−1.035744
Evaluate
−20=x2×18x
Multiply
More Steps
Evaluate
x2×18x
Multiply the terms with the same base by adding their exponents
x2+1×18
Add the numbers
x3×18
Use the commutative property to reorder the terms
18x3
−20=18x3
Swap the sides of the equation
18x3=−20
Divide both sides
1818x3=18−20
Divide the numbers
x3=18−20
Divide the numbers
More Steps
Evaluate
18−20
Cancel out the common factor 2
9−10
Use b−a=−ba=−ba to rewrite the fraction
−910
x3=−910
Take the 3-th root on both sides of the equation
3x3=3−910
Calculate
x=3−910
Solution
More Steps
Evaluate
3−910
An odd root of a negative radicand is always a negative
−3910
To take a root of a fraction,take the root of the numerator and denominator separately
−39310
Multiply by the Conjugate
39×392−310×392
Simplify
39×392−310×333
Multiply the numbers
More Steps
Evaluate
−310×333
Multiply the terms
−330×3
Use the commutative property to reorder the terms
−3330
39×392−3330
Multiply the numbers
More Steps
Evaluate
39×392
The product of roots with the same index is equal to the root of the product
39×92
Calculate the product
393
Transform the expression
336
Reduce the index of the radical and exponent with 3
32
32−3330
Reduce the fraction
More Steps
Evaluate
32−3
Use the product rule aman=an−m to simplify the expression
32−1−1
Subtract the terms
31−1
Simplify
3−1
3−330
Calculate
−3330
x=−3330
Alternative Form
x≈−1.035744
Show Solution
Graph
