Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x−2)(4x+7)
Evaluate
8x2−2x−28
Rewrite the expression
2×4x2−2x−2×14
Factor out 2 from the expression
2(4x2−x−14)
Solution
More Steps
Evaluate
4x2−x−14
Rewrite the expression
4x2+(7−8)x−14
Calculate
4x2+7x−8x−14
Rewrite the expression
x×4x+x×7−2×4x−2×7
Factor out x from the expression
x(4x+7)−2×4x−2×7
Factor out −2 from the expression
x(4x+7)−2(4x+7)
Factor out 4x+7 from the expression
(x−2)(4x+7)
2(x−2)(4x+7)
Show Solution
Find the roots
x1=−47,x2=2
Alternative Form
x1=−1.75,x2=2
Evaluate
8x2−2x−28
To find the roots of the expression,set the expression equal to 0
8x2−2x−28=0
Factor the expression
More Steps
Evaluate
8x2−2x−28
Rewrite the expression
2×4x2−2x−2×14
Factor out 2 from the expression
2(4x2−x−14)
Factor the expression
More Steps
Evaluate
4x2−x−14
Rewrite the expression
4x2+(7−8)x−14
Calculate
4x2+7x−8x−14
Rewrite the expression
x×4x+x×7−2×4x−2×7
Factor out x from the expression
x(4x+7)−2×4x−2×7
Factor out −2 from the expression
x(4x+7)−2(4x+7)
Factor out 4x+7 from the expression
(x−2)(4x+7)
2(x−2)(4x+7)
2(x−2)(4x+7)=0
Divide the terms
(x−2)(4x+7)=0
When the product of factors equals 0,at least one factor is 0
x−2=04x+7=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+7=0
Solve the equation for x
More Steps
Evaluate
4x+7=0
Move the constant to the right-hand side and change its sign
4x=0−7
Removing 0 doesn't change the value,so remove it from the expression
4x=−7
Divide both sides
44x=4−7
Divide the numbers
x=4−7
Use b−a=−ba=−ba to rewrite the fraction
x=−47
x=2x=−47
Solution
x1=−47,x2=2
Alternative Form
x1=−1.75,x2=2
Show Solution