Question
Solve the equation
x=2131764
Alternative Form
x≈0.57537
Evaluate
−4=−3x2×7x
Multiply
More Steps

Evaluate
−3x2×7x
Multiply the terms
−21x2×x
Multiply the terms with the same base by adding their exponents
−21x2+1
Add the numbers
−21x3
−4=−21x3
Swap the sides of the equation
−21x3=−4
Change the signs on both sides of the equation
21x3=4
Divide both sides
2121x3=214
Divide the numbers
x3=214
Take the 3-th root on both sides of the equation
3x3=3214
Calculate
x=3214
Solution
More Steps

Evaluate
3214
To take a root of a fraction,take the root of the numerator and denominator separately
32134
Multiply by the Conjugate
321×321234×3212
Simplify
321×321234×3441
Multiply the numbers
More Steps

Evaluate
34×3441
The product of roots with the same index is equal to the root of the product
34×441
Calculate the product
31764
321×321231764
Multiply the numbers
More Steps

Evaluate
321×3212
The product of roots with the same index is equal to the root of the product
321×212
Calculate the product
3213
Reduce the index of the radical and exponent with 3
21
2131764
x=2131764
Alternative Form
x≈0.57537
Show Solution
