3m square-11m+8 solve
Answers
Answer:
3m
2
−11m+6
Factor the expression by grouping. First, the expression needs to be rewritten as 3m
2
+am+bm+6. To find a and b, set up a system to be solved.
a+b=−11
ab=3×6=18
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 18.
−1,−18
−2,−9
−3,−6
Calculate the sum for each pair.
−1−18=−19
−2−9=−11
−3−6=−9
The solution is the pair that gives sum −11.
a=−9
b=−2
Rewrite 3m
2
−11m+6 as (3m
2
−9m)+(−2m+6).
(3m
2
−9m)+(−2m+6)
Factor out 3m in the first and −2 in the second group.
3m(m−3)−2(m−3)
Factor out common term m−3 by using distributive property.
(m−3)(3m−2)
Answer: m = 5.4
Step- by- step explanation.
3 (m-2)-5=8-2 (m-4)
Simplifying
3(m + -2) + -5 = 8 + -2(m + -4)
Reorder the terms:
3(-2 + m) + -5 = 8 + -2(m + -4)
(-2 * 3 + m * 3) + -5 = 8 + -2(m + -4)
(-6 + 3m) + -5 = 8 + -2(m + -4)
Reorder the terms:
-6 + -5 + 3m = 8 + -2(m + -4)
Combine like terms: -6 + -5 = -11
-11 + 3m = 8 + -2(m + -4)
Reorder the terms:
-11 + 3m = 8 + -2(-4 + m)
-11 + 3m = 8 + (-4 * -2 + m * -2)
-11 + 3m = 8 + (8 + -2m)
Combine like terms: 8 + 8 = 16
-11 + 3m = 16 + -2m
Solving
-11 + 3m = 16 + -2m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '2m' to each side of the equation.
-11 + 3m + 2m = 16 + -2m + 2m
Combine like terms: 3m + 2m = 5m
-11 + 5m = 16 + -2m + 2m
Combine like terms: -2m + 2m = 0
-11 + 5m = 16 + 0
-11 + 5m = 16
Add '11' to each side of the equation.
-11 + 11 + 5m = 16 + 11
Combine like terms: -11 + 11 = 0
0 + 5m = 16 + 11
5m = 16 + 11
Combine like terms: 16 + 11 = 27
5m = 27
Divide each side by '5'.
m = 5.4
Simplifying
m = 5.4
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