Question
Factor the expression
2x(4x−1−6x2)
Evaluate
8x2−2x−12x3
Rewrite the expression
2x×4x−2x−2x×6x2
Solution
2x(4x−1−6x2)
Show Solution

Find the roots
x1=31−62i,x2=31+62i,x3=0
Alternative Form
x1≈0.3˙−0.235702i,x2≈0.3˙+0.235702i,x3=0
Evaluate
8x2−2x−12x3
To find the roots of the expression,set the expression equal to 0
8x2−2x−12x3=0
Factor the expression
2x(4x−1−6x2)=0
Divide both sides
x(4x−1−6x2)=0
Separate the equation into 2 possible cases
x=04x−1−6x2=0
Solve the equation
More Steps

Evaluate
4x−1−6x2=0
Rewrite in standard form
−6x2+4x−1=0
Multiply both sides
6x2−4x+1=0
Substitute a=6,b=−4 and c=1 into the quadratic formula x=2a−b±b2−4ac
x=2×64±(−4)2−4×6
Simplify the expression
x=124±(−4)2−4×6
Simplify the expression
More Steps

Evaluate
(−4)2−4×6
Multiply the numbers
(−4)2−24
Rewrite the expression
42−24
Evaluate the power
16−24
Subtract the numbers
−8
x=124±−8
Simplify the radical expression
More Steps

Evaluate
−8
Evaluate the power
8×−1
Evaluate the power
8×i
Evaluate the power
22×i
x=124±22×i
Separate the equation into 2 possible cases
x=124+22×ix=124−22×i
Simplify the expression
x=31+62ix=124−22×i
Simplify the expression
x=31+62ix=31−62i
x=0x=31+62ix=31−62i
Solution
x1=31−62i,x2=31+62i,x3=0
Alternative Form
x1≈0.3˙−0.235702i,x2≈0.3˙+0.235702i,x3=0
Show Solution
