10-find whether 4m2-5 is a factor of 4m +7m²-15 or not.
Answers
Answer:
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