Can somebody me with solving these equations while using distributive property. and show all steps. i keep getting th wrong answer and don’t know where i’m messing up at
-4(7+8n)=228
-4(1+7a)-5=-121
-7(3p-1)=112
-3(7-3k)=-84
7(6x+7)+8x=-301
need asap

1. -28-32n=228

-32n=256

N= -8

2. -4-28a-5=-121

-28a= -112

A=4

3.-21p+7=112

-21p=105

P= -5

4.-21+9k= -84

9k= -54

K= -6

42x+49+8x= -301

50x = -350

X= -7

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.