Question

The solution of equation -4(p+2) = 8 is

Answer 1

Answer:

p = -4

Step-by-step explanation:

-4(p+2) = 8

(p+2) = -2

p = -4

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Answer 2

Equation at the end of step

1

:

p2 - 28 = 0

STEP

2

:

Solving a Single Variable Equation

2.1 Solve : p2-28 = 0

Add 28 to both sides of the equation :

p2 = 28

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

p = ± √ 28

Can √ 28 be simplified ?

Yes! The prime factorization of 28 is

2•2•7

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 28 = √ 2•2•7 =

± 2 • √ 7

The equation has two real solutions

These solutions are p = 2 • ± √7 = ± 5.2915

example