Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(m−2)(4m+7)
Evaluate
4m2−m−14
Rewrite the expression
4m2+(7−8)m−14
Calculate
4m2+7m−8m−14
Rewrite the expression
m×4m+m×7−2×4m−2×7
Factor out m from the expression
m(4m+7)−2×4m−2×7
Factor out −2 from the expression
m(4m+7)−2(4m+7)
Solution
(m−2)(4m+7)
Show Solution
Find the roots
m1=−47,m2=2
Alternative Form
m1=−1.75,m2=2
Evaluate
4m2−m−14
To find the roots of the expression,set the expression equal to 0
4m2−m−14=0
Factor the expression
More Steps
Evaluate
4m2−m−14
Rewrite the expression
4m2+(7−8)m−14
Calculate
4m2+7m−8m−14
Rewrite the expression
m×4m+m×7−2×4m−2×7
Factor out m from the expression
m(4m+7)−2×4m−2×7
Factor out −2 from the expression
m(4m+7)−2(4m+7)
Factor out 4m+7 from the expression
(m−2)(4m+7)
(m−2)(4m+7)=0
When the product of factors equals 0,at least one factor is 0
m−2=04m+7=0
Solve the equation for m
More Steps
Evaluate
m−2=0
Move the constant to the right-hand side and change its sign
m=0+2
Removing 0 doesn't change the value,so remove it from the expression
m=2
m=24m+7=0
Solve the equation for m
More Steps
Evaluate
4m+7=0
Move the constant to the right-hand side and change its sign
4m=0−7
Removing 0 doesn't change the value,so remove it from the expression
4m=−7
Divide both sides
44m=4−7
Divide the numbers
m=4−7
Use b−a=−ba=−ba to rewrite the fraction
m=−47
m=2m=−47
Solution
m1=−47,m2=2
Alternative Form
m1=−1.75,m2=2
Show Solution