Question
Factor the expression
3x2(3−4x2)
Evaluate
9x2−12x4
Rewrite the expression
3x2×3−3x2×4x2
Solution
3x2(3−4x2)
Show Solution

Find the roots
x1=−23,x2=0,x3=23
Alternative Form
x1≈−0.866025,x2=0,x3≈0.866025
Evaluate
9x2−12x4
To find the roots of the expression,set the expression equal to 0
9x2−12x4=0
Factor the expression
3x2(3−4x2)=0
Divide both sides
x2(3−4x2)=0
Separate the equation into 2 possible cases
x2=03−4x2=0
The only way a power can be 0 is when the base equals 0
x=03−4x2=0
Solve the equation
More Steps

Evaluate
3−4x2=0
Move the constant to the right-hand side and change its sign
−4x2=0−3
Removing 0 doesn't change the value,so remove it from the expression
−4x2=−3
Change the signs on both sides of the equation
4x2=3
Divide both sides
44x2=43
Divide the numbers
x2=43
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±43
Simplify the expression
More Steps

Evaluate
43
To take a root of a fraction,take the root of the numerator and denominator separately
43
Simplify the radical expression
23
x=±23
Separate the equation into 2 possible cases
x=23x=−23
x=0x=23x=−23
Solution
x1=−23,x2=0,x3=23
Alternative Form
x1≈−0.866025,x2=0,x3≈0.866025
Show Solution
