Question
Factor the expression
32x2(3−2x3)
Evaluate
2x2−34x5
Rewrite the expression
32x2×3−32x2×2x3
Solution
32x2(3−2x3)
Show Solution

Find the roots
x1=0,x2=2312
Alternative Form
x1=0,x2≈1.144714
Evaluate
2x2−34x5
To find the roots of the expression,set the expression equal to 0
2x2−34x5=0
Factor the expression
x2(2−34x3)=0
Separate the equation into 2 possible cases
x2=02−34x3=0
The only way a power can be 0 is when the base equals 0
x=02−34x3=0
Solve the equation
More Steps

Evaluate
2−34x3=0
Move the constant to the right-hand side and change its sign
−34x3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−34x3=−2
Change the signs on both sides of the equation
34x3=2
Multiply by the reciprocal
34x3×43=2×43
Multiply
x3=2×43
Multiply
More Steps

Evaluate
2×43
Reduce the numbers
1×23
Multiply the numbers
23
x3=23
Take the 3-th root on both sides of the equation
3x3=323
Calculate
x=323
Simplify the root
More Steps

Evaluate
323
To take a root of a fraction,take the root of the numerator and denominator separately
3233
Multiply by the Conjugate
32×32233×322
Simplify
32×32233×34
Multiply the numbers
32×322312
Multiply the numbers
2312
x=2312
x=0x=2312
Solution
x1=0,x2=2312
Alternative Form
x1=0,x2≈1.144714
Show Solution
