Respuesta :

PuffyFluffy

Answer:

g= -5

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    84-(4*(1-4*g))=0

 84 -  4 • (1 - 4g)  = 0

3.1     Pull out like factors :

  16g + 80  =   16 • (g + 5)

16 • (g + 5)  = 0

4.1      Solve :    16   =  0

This equation has no solution.

A a non-zero constant never equals zero.

4.2      Solve  :    g+5 = 0  

Subtract  5  from both sides of the equation :  

                     g = -5

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Space

Answer:

g = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

84 = 4(1 - 4g)

Step 2: Solve for g

  1. Distribute 4:                    84 = 4 - 16g
  2. Isolate g term:                 80 = -16g
  3. Isolate g:                         -5 = g
  4. Rewrite:                           g = -5

Step 3: Check

Plug in g into the original equation to verify it's a solution.

  1. Substitute in g:                    84 = 4(1 - 4(-5))
  2. Multiply:                               84 = 4(1 + 20)
  3. Add:                                     84 = 4(21)
  4. Multiply:                               84 = 84

Here we see that 84 does indeed equal 84.

∴ g = -5 is a solution of the equation.