Question
Solve the equation
x=6390
Alternative Form
x≈0.746901
Evaluate
4x2×12x−15=5
Multiply
More Steps

Evaluate
4x2×12x
Multiply the terms
48x2×x
Multiply the terms with the same base by adding their exponents
48x2+1
Add the numbers
48x3
48x3−15=5
Move the constant to the right-hand side and change its sign
48x3=5+15
Add the numbers
48x3=20
Divide both sides
4848x3=4820
Divide the numbers
x3=4820
Cancel out the common factor 4
x3=125
Take the 3-th root on both sides of the equation
3x3=3125
Calculate
x=3125
Solution
More Steps

Evaluate
3125
To take a root of a fraction,take the root of the numerator and denominator separately
31235
Multiply by the Conjugate
312×312235×3122
Simplify
312×312235×2318
Multiply the numbers
More Steps

Evaluate
35×2318
Multiply the terms
390×2
Use the commutative property to reorder the terms
2390
312×31222390
Multiply the numbers
More Steps

Evaluate
312×3122
The product of roots with the same index is equal to the root of the product
312×122
Calculate the product
3123
Reduce the index of the radical and exponent with 3
12
122390
Cancel out the common factor 2
6390
x=6390
Alternative Form
x≈0.746901
Show Solution
