Question
Solve the equation
x=−3239
Alternative Form
x≈−1.386723
Evaluate
x−x−122=4x3×41
Simplify
More Steps

Evaluate
x−x−122
Cancel out the common factor 2
x−x−61
The sum of two opposites equals 0
More Steps

Evaluate
x−x
Collect like terms
(1−1)x
Add the coefficients
0×x
Calculate
0
0−61
Remove 0
−61
−61=4x3×41
Multiply the terms
More Steps

Multiply the terms
4x3×41
Multiply the terms
4×4x3
Multiply the terms
16x3
−61=16x3
Swap the sides of the equation
16x3=−61
Rewrite the expression
16x3=6−1
Multiply both sides of the equation by 16
16x3×16=6−1×16
Multiply the terms
x3=6−16
Divide the terms
x3=−38
Take the 3-th root on both sides of the equation
3x3=3−38
Calculate
x=3−38
Solution
More Steps

Evaluate
3−38
An odd root of a negative radicand is always a negative
−338
To take a root of a fraction,take the root of the numerator and denominator separately
−3338
Simplify the radical expression
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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
−332
Multiply by the Conjugate
33×332−2332
Simplify
33×332−239
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3−239
Calculate
−3239
x=−3239
Alternative Form
x≈−1.386723
Show Solution
