Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x−2)(4x+1)
Evaluate
8x2−14x−4
Rewrite the expression
2×4x2−2×7x−2×2
Factor out 2 from the expression
2(4x2−7x−2)
Solution
More Steps
Evaluate
4x2−7x−2
Rewrite the expression
4x2+(1−8)x−2
Calculate
4x2+x−8x−2
Rewrite the expression
x×4x+x−2×4x−2
Factor out x from the expression
x(4x+1)−2×4x−2
Factor out −2 from the expression
x(4x+1)−2(4x+1)
Factor out 4x+1 from the expression
(x−2)(4x+1)
2(x−2)(4x+1)
Show Solution
Find the roots
x1=−41,x2=2
Alternative Form
x1=−0.25,x2=2
Evaluate
8x2−14x−4
To find the roots of the expression,set the expression equal to 0
8x2−14x−4=0
Factor the expression
More Steps
Evaluate
8x2−14x−4
Rewrite the expression
2×4x2−2×7x−2×2
Factor out 2 from the expression
2(4x2−7x−2)
Factor the expression
More Steps
Evaluate
4x2−7x−2
Rewrite the expression
4x2+(1−8)x−2
Calculate
4x2+x−8x−2
Rewrite the expression
x×4x+x−2×4x−2
Factor out x from the expression
x(4x+1)−2×4x−2
Factor out −2 from the expression
x(4x+1)−2(4x+1)
Factor out 4x+1 from the expression
(x−2)(4x+1)
2(x−2)(4x+1)
2(x−2)(4x+1)=0
Divide the terms
(x−2)(4x+1)=0
When the product of factors equals 0,at least one factor is 0
x−2=04x+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
x=24x+1=0
Solve the equation for x
More Steps
Evaluate
4x+1=0
Move the constant to the right-hand side and change its sign
4x=0−1
Removing 0 doesn't change the value,so remove it from the expression
4x=−1
Divide both sides
44x=4−1
Divide the numbers
x=4−1
Use b−a=−ba=−ba to rewrite the fraction
x=−41
x=2x=−41
Solution
x1=−41,x2=2
Alternative Form
x1=−0.25,x2=2
Show Solution