Question
Factor the expression
−(x−6)(3x−4)
Evaluate
−3x2+22x−24
Rewrite the expression
−3x2+(4+18)x−24
Calculate
−3x2+4x+18x−24
Rewrite the expression
−x×3x+x×4+6×3x−6×4
Factor out −x from the expression
−x(3x−4)+6×3x−6×4
Factor out 6 from the expression
−x(3x−4)+6(3x−4)
Factor out 3x−4 from the expression
(−x+6)(3x−4)
Solution
−(x−6)(3x−4)
Show Solution

Find the roots
x1=34,x2=6
Alternative Form
x1=1.3˙,x2=6
Evaluate
−3x2+22x−24
To find the roots of the expression,set the expression equal to 0
−3x2+22x−24=0
Factor the expression
More Steps

Evaluate
−3x2+22x−24
Rewrite the expression
−3x2+(4+18)x−24
Calculate
−3x2+4x+18x−24
Rewrite the expression
−x×3x+x×4+6×3x−6×4
Factor out −x from the expression
−x(3x−4)+6×3x−6×4
Factor out 6 from the expression
−x(3x−4)+6(3x−4)
Factor out 3x−4 from the expression
(−x+6)(3x−4)
(−x+6)(3x−4)=0
When the product of factors equals 0,at least one factor is 0
−x+6=03x−4=0
Solve the equation for x
More Steps

Evaluate
−x+6=0
Move the constant to the right-hand side and change its sign
−x=0−6
Removing 0 doesn't change the value,so remove it from the expression
−x=−6
Change the signs on both sides of the equation
x=6
x=63x−4=0
Solve the equation for x
More Steps

Evaluate
3x−4=0
Move the constant to the right-hand side and change its sign
3x=0+4
Removing 0 doesn't change the value,so remove it from the expression
3x=4
Divide both sides
33x=34
Divide the numbers
x=34
x=6x=34
Solution
x1=34,x2=6
Alternative Form
x1=1.3˙,x2=6
Show Solution
