Question
Solve the equation
x=1193212415
Alternative Form
x≈0.501397
Evaluate
180=6x2×34x×7
Multiply
More Steps

Evaluate
6x2×34x×7
Multiply the terms
More Steps

Evaluate
6×34×7
Multiply the terms
204×7
Multiply the numbers
1428
1428x2×x
Multiply the terms with the same base by adding their exponents
1428x2+1
Add the numbers
1428x3
180=1428x3
Swap the sides of the equation
1428x3=180
Divide both sides
14281428x3=1428180
Divide the numbers
x3=1428180
Cancel out the common factor 12
x3=11915
Take the 3-th root on both sides of the equation
3x3=311915
Calculate
x=311915
Solution
More Steps

Evaluate
311915
To take a root of a fraction,take the root of the numerator and denominator separately
3119315
Multiply by the Conjugate
3119×31192315×31192
Simplify
3119×31192315×314161
Multiply the numbers
More Steps

Evaluate
315×314161
The product of roots with the same index is equal to the root of the product
315×14161
Calculate the product
3212415
3119×311923212415
Multiply the numbers
More Steps

Evaluate
3119×31192
The product of roots with the same index is equal to the root of the product
3119×1192
Calculate the product
31193
Reduce the index of the radical and exponent with 3
119
1193212415
x=1193212415
Alternative Form
x≈0.501397
Show Solution
