Question
Simplify the expression
15x3−12
Evaluate
3x2×5x−12
Solution
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
15x3−12
Show Solution

Factor the expression
3(5x3−4)
Evaluate
3x2×5x−12
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
15x3−12
Solution
3(5x3−4)
Show Solution

Find the roots
x=53100
Alternative Form
x≈0.928318
Evaluate
3x2×5x−12
To find the roots of the expression,set the expression equal to 0
3x2×5x−12=0
Multiply
More Steps

Multiply the terms
3x2×5x
Multiply the terms
15x2×x
Multiply the terms with the same base by adding their exponents
15x2+1
Add the numbers
15x3
15x3−12=0
Move the constant to the right-hand side and change its sign
15x3=0+12
Removing 0 doesn't change the value,so remove it from the expression
15x3=12
Divide both sides
1515x3=1512
Divide the numbers
x3=1512
Cancel out the common factor 3
x3=54
Take the 3-th root on both sides of the equation
3x3=354
Calculate
x=354
Solution
More Steps

Evaluate
354
To take a root of a fraction,take the root of the numerator and denominator separately
3534
Multiply by the Conjugate
35×35234×352
Simplify
35×35234×325
Multiply the numbers
More Steps

Evaluate
34×325
The product of roots with the same index is equal to the root of the product
34×25
Calculate the product
3100
35×3523100
Multiply the numbers
More Steps

Evaluate
35×352
The product of roots with the same index is equal to the root of the product
35×52
Calculate the product
353
Reduce the index of the radical and exponent with 3
5
53100
x=53100
Alternative Form
x≈0.928318
Show Solution
