Question
Factor the expression
Factor
−(x+2)(8x−1)
Evaluate
−8x2−15x+2
Rewrite the expression
−8x2+(1−16)x+2
Calculate
−8x2+x−16x+2
Rewrite the expression
−x×8x+x−2×8x+2
Factor out −x from the expression
−x(8x−1)−2×8x+2
Factor out −2 from the expression
−x(8x−1)−2(8x−1)
Factor out 8x−1 from the expression
(−x−2)(8x−1)
Solution
−(x+2)(8x−1)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−2,x2=81
Alternative Form
x1=−2,x2=0.125
Evaluate
−8x2−15x+2
To find the roots of the expression,set the expression equal to 0
−8x2−15x+2=0
Factor the expression
More Steps
Evaluate
−8x2−15x+2
Rewrite the expression
−8x2+(1−16)x+2
Calculate
−8x2+x−16x+2
Rewrite the expression
−x×8x+x−2×8x+2
Factor out −x from the expression
−x(8x−1)−2×8x+2
Factor out −2 from the expression
−x(8x−1)−2(8x−1)
Factor out 8x−1 from the expression
(−x−2)(8x−1)
(−x−2)(8x−1)=0
When the product of factors equals 0,at least one factor is 0
−x−2=08x−1=0
Solve the equation for x
More Steps
Evaluate
−x−2=0
Move the constant to the right-hand side and change its sign
−x=0+2
Removing 0 doesn't change the value,so remove it from the expression
−x=2
Change the signs on both sides of the equation
x=−2
x=−28x−1=0
Solve the equation for x
More Steps
Evaluate
8x−1=0
Move the constant to the right-hand side and change its sign
8x=0+1
Removing 0 doesn't change the value,so remove it from the expression
8x=1
Divide both sides
88x=81
Divide the numbers
x=81
x=−2x=81
Solution
x1=−2,x2=81
Alternative Form
x1=−2,x2=0.125
Show Solution