Question
Factor the expression
2x(4x−4−3x2)
Evaluate
8x2−8x−6x3
Rewrite the expression
2x×4x−2x×4−2x×3x2
Solution
2x(4x−4−3x2)
Show Solution

Find the roots
x1=32−322i,x2=32+322i,x3=0
Alternative Form
x1≈0.6˙−0.942809i,x2≈0.6˙+0.942809i,x3=0
Evaluate
8x2−8x−6x3
To find the roots of the expression,set the expression equal to 0
8x2−8x−6x3=0
Factor the expression
2x(4x−4−3x2)=0
Divide both sides
x(4x−4−3x2)=0
Separate the equation into 2 possible cases
x=04x−4−3x2=0
Solve the equation
More Steps

Evaluate
4x−4−3x2=0
Rewrite in standard form
−3x2+4x−4=0
Multiply both sides
3x2−4x+4=0
Substitute a=3,b=−4 and c=4 into the quadratic formula x=2a−b±b2−4ac
x=2×34±(−4)2−4×3×4
Simplify the expression
x=64±(−4)2−4×3×4
Simplify the expression
More Steps

Evaluate
(−4)2−4×3×4
Multiply the terms
(−4)2−48
Rewrite the expression
42−48
Evaluate the power
16−48
Subtract the numbers
−32
x=64±−32
Simplify the radical expression
More Steps

Evaluate
−32
Evaluate the power
32×−1
Evaluate the power
32×i
Evaluate the power
42×i
x=64±42×i
Separate the equation into 2 possible cases
x=64+42×ix=64−42×i
Simplify the expression
x=32+322ix=64−42×i
Simplify the expression
x=32+322ix=32−322i
x=0x=32+322ix=32−322i
Solution
x1=32−322i,x2=32+322i,x3=0
Alternative Form
x1≈0.6˙−0.942809i,x2≈0.6˙+0.942809i,x3=0
Show Solution
