Question
Factor the expression
x2(7−8x3)
Evaluate
7x2−8x5
Rewrite the expression
x2×7−x2×8x3
Solution
x2(7−8x3)
Show Solution

Find the roots
x1=0,x2=237
Alternative Form
x1=0,x2≈0.956466
Evaluate
7x2−8x5
To find the roots of the expression,set the expression equal to 0
7x2−8x5=0
Factor the expression
x2(7−8x3)=0
Separate the equation into 2 possible cases
x2=07−8x3=0
The only way a power can be 0 is when the base equals 0
x=07−8x3=0
Solve the equation
More Steps

Evaluate
7−8x3=0
Move the constant to the right-hand side and change its sign
−8x3=0−7
Removing 0 doesn't change the value,so remove it from the expression
−8x3=−7
Change the signs on both sides of the equation
8x3=7
Divide both sides
88x3=87
Divide the numbers
x3=87
Take the 3-th root on both sides of the equation
3x3=387
Calculate
x=387
Simplify the root
More Steps

Evaluate
387
To take a root of a fraction,take the root of the numerator and denominator separately
3837
Simplify the radical expression
237
x=237
x=0x=237
Solution
x1=0,x2=237
Alternative Form
x1=0,x2≈0.956466
Show Solution
