Question
Simplify the expression
12x4−75x
Evaluate
(4x3−25)(4x−1×x)
Any expression multiplied by 1 remains the same
(4x3−25)(4x−x)
Subtract the terms
More Steps

Simplify
4x−x
Collect like terms by calculating the sum or difference of their coefficients
(4−1)x
Subtract the numbers
3x
(4x3−25)×3x
Multiply the terms
3x(4x3−25)
Apply the distributive property
3x×4x3−3x×25
Multiply the terms
More Steps

Evaluate
3x×4x3
Multiply the numbers
12x×x3
Multiply the terms
More Steps

Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
12x4
12x4−3x×25
Solution
12x4−75x
Show Solution

Find the roots
x1=0,x2=2350
Alternative Form
x1=0,x2≈1.842016
Evaluate
(4x3−25)(4x−1×x)
To find the roots of the expression,set the expression equal to 0
(4x3−25)(4x−1×x)=0
Any expression multiplied by 1 remains the same
(4x3−25)(4x−x)=0
Subtract the terms
More Steps

Simplify
4x−x
Collect like terms by calculating the sum or difference of their coefficients
(4−1)x
Subtract the numbers
3x
(4x3−25)×3x=0
Multiply the terms
3x(4x3−25)=0
Elimination the left coefficient
x(4x3−25)=0
Separate the equation into 2 possible cases
x=04x3−25=0
Solve the equation
More Steps

Evaluate
4x3−25=0
Move the constant to the right-hand side and change its sign
4x3=0+25
Removing 0 doesn't change the value,so remove it from the expression
4x3=25
Divide both sides
44x3=425
Divide the numbers
x3=425
Take the 3-th root on both sides of the equation
3x3=3425
Calculate
x=3425
Simplify the root
More Steps

Evaluate
3425
To take a root of a fraction,take the root of the numerator and denominator separately
34325
Multiply by the Conjugate
34×342325×342
Simplify
34×342325×232
Multiply the numbers
34×3422350
Multiply the numbers
222350
Reduce the fraction
2350
x=2350
x=0x=2350
Solution
x1=0,x2=2350
Alternative Form
x1=0,x2≈1.842016
Show Solution
