Question

plz Wegnerkolmp2741o help me

Answer 1

Answer:

a = 7/6       a = -1/5

Step-by-step explanation:

30 a^2 - 7 = 29a

Subtract 29a from each side

30 a^2 -29a- 7 = 29a-29a

30 a^2 -29a- 7 = 0

Factor

(    -7 ) (      +1) =0  to get -7

We need to determine what goes in the first part

5*7 = 35 - 6 = 29

(  6a  -7 ) (  5a    +1) =0

Using the zero product property

6a -7 =0   5a+1 =0

6a = 7      5a = -1

a = 7/6       a = -1/5

Answer 2

Answer:

D. a = -1/5, a = 7/6

Step-by-step explanation:

Move the variable to the left-hand side and change its sign

$30a^{2} -7-29a=0$

Use the commutative property to reorder the terms

$30a^{2} -29a-7=0$

Write -29a as a difference

$30a^{2} +6a-35a-7=0$

Factor out "6a" and "-7" from the expression

$6x(a)x(5a+1)-35a-7=0$

$6x(a)x(5a+1)-7(5a+1)=0$

Factor out "5a + 1" from the expression

$(5a+1)x(6a-7)=0$

When the product of factors equals 0, at least one factor is 0

$5a+1=0\\6a-7=0$

Solve the equation for a

$a = -\frac{1}{5}$

$a = \frac{7}{6}$

The equation has 2 solutions

$a= -\frac{1}{5} , a=\frac{7}{6}$