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solong [7]
2 years ago
8

4(x - 7) = 4x - 28

Mathematics
2 answers:
dsp732 years ago
7 0

Answer:

associative

4 is associated in the bracket

=( 4x-7 )

makvit [3.9K]2 years ago
4 0

Answer:

0

Step-by-step explanation:

4

(

−

7

)

=

4

−

2

8

4(x-7)=4x-28

4(x−7)=4x−28

Solve

1

Distribute

4

(

−

7

)

=

4

−

2

8

4

−

2

8

=

4

−

2

8

2

Add

2

8

28

28

to both sides of the equation

4

−

2

8

=

4

−

2

8

4

−

2

8

+

2

8

=

4

−

2

8

+

2

8

3

Simplify

Add the numbers

Add the numbers

4

=

4

4

Subtract

4

4x

4x

from both sides of the equation

4

=

4

4

−

4

=

4

−

4

5

Simplify

Combine like terms

Combine like terms

0

=

0

Result

0

=

0

The input is an identity: it is true for all values

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Solve |p + 2| = 10Solve |p + 2| = 10<br><br> {-12}<br> {-8, 8}<br> {-12, 8}
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By definition, we have

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So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that p+2\geq 0 \iff p \geq -2

In this case, the absolute value doesn't do anything: the equation is

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We are supposing p \geq -2, so we can accept this solution.

Now, suppose that p+2 < 0 \iff p < -2. Now the sign of the expression is flipped by the absolute value, and the equation becomes

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Again, the solution is coherent with the assumption, so we can accept this value as well.

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