Question
Solve the equation
x=153225
Alternative Form
x≈0.40548
Evaluate
3x2×5x−1=0
Multiply
More Steps

Evaluate
3x2×5x
Multiply the terms
15x2×x
Multiply the terms with the same base by adding their exponents
15x2+1
Add the numbers
15x3
15x3−1=0
Move the constant to the right-hand side and change its sign
15x3=0+1
Removing 0 doesn't change the value,so remove it from the expression
15x3=1
Divide both sides
1515x3=151
Divide the numbers
x3=151
Take the 3-th root on both sides of the equation
3x3=3151
Calculate
x=3151
Solution
More Steps

Evaluate
3151
To take a root of a fraction,take the root of the numerator and denominator separately
31531
Simplify the radical expression
3151
Multiply by the Conjugate
315×31523152
Simplify
315×31523225
Multiply the numbers
More Steps

Evaluate
315×3152
The product of roots with the same index is equal to the root of the product
315×152
Calculate the product
3153
Reduce the index of the radical and exponent with 3
15
153225
x=153225
Alternative Form
x≈0.40548
Show Solution
