Question
Solve the equation
x=7237
Alternative Form
x≈0.546552
Evaluate
−7x2×7x×1=−8
Multiply the terms
More Steps

Evaluate
−7x2×7x×1
Rewrite the expression
−7x2×7x
Multiply the terms
−49x2×x
Multiply the terms with the same base by adding their exponents
−49x2+1
Add the numbers
−49x3
−49x3=−8
Change the signs on both sides of the equation
49x3=8
Divide both sides
4949x3=498
Divide the numbers
x3=498
Take the 3-th root on both sides of the equation
3x3=3498
Calculate
x=3498
Solution
More Steps

Evaluate
3498
To take a root of a fraction,take the root of the numerator and denominator separately
34938
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
3492
Multiply by the Conjugate
349×349223492
Simplify
349×34922×737
Multiply the numbers
349×34921437
Multiply the numbers
More Steps

Evaluate
349×3492
The product of roots with the same index is equal to the root of the product
349×492
Calculate the product
3493
Transform the expression
376
Reduce the index of the radical and exponent with 3
72
721437
Rewrite the expression
727×237
Reduce the fraction
More Steps

Evaluate
727
Use the product rule aman=an−m to simplify the expression
72−11
Subtract the terms
711
Simplify
71
7237
x=7237
Alternative Form
x≈0.546552
Show Solution
