Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=72349
Alternative Form
x≈1.045516
Evaluate
(x2×7x−17)×31=−3
Simplify
More Steps
Evaluate
(x2×7x−17)×31
Multiply
More Steps
Multiply the terms
x2×7x
Multiply the terms with the same base by adding their exponents
x2+1×7
Add the numbers
x3×7
Use the commutative property to reorder the terms
7x3
(7x3−17)×31
Apply the distributive property
7x3×31−17×31
Multiply the numbers
37x3−17×31
Multiply the numbers
37x3−317
37x3−317=−3
Move the constant to the right-hand side and change its sign
37x3=−3+317
Add the numbers
More Steps
Evaluate
−3+317
Reduce fractions to a common denominator
−33×3+317
Write all numerators above the common denominator
3−3×3+17
Multiply the numbers
3−9+17
Add the numbers
38
37x3=38
Multiply by the reciprocal
37x3×73=38×73
Multiply
x3=38×73
Multiply
More Steps
Evaluate
38×73
Reduce the numbers
8×71
Multiply the numbers
78
x3=78
Take the 3-th root on both sides of the equation
3x3=378
Calculate
x=378
Solution
More Steps
Evaluate
378
To take a root of a fraction,take the root of the numerator and denominator separately
3738
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
372
Multiply by the Conjugate
37×3722372
Simplify
37×3722349
Multiply the numbers
More Steps
Evaluate
37×372
The product of roots with the same index is equal to the root of the product
37×72
Calculate the product
373
Reduce the index of the radical and exponent with 3
7
72349
x=72349
Alternative Form
x≈1.045516
Show Solution
Graph
