X ⋅ x ⋅ x ⋅ x ⋅ x = ? 5x x(x + 5) x + 5 x5

Answer

x.x.x.x.x = 5x

Step-by-step explanation:

(

−

∞

,

∞

)

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Step-by-step explanation:

Simplify  

5

(

5

x

−

5

)

.

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Apply the distributive property.

5

(

5

x

)

+

5

⋅

−

5

=

25

(

x

−

1

)

Multiply.

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25

x

−

25

=

25

(

x

−

1

)

Simplify  

25

(

x

−

1

)

.

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Apply the distributive property.

25

x

−

25

=

25

x

+

25

⋅

−

1

Multiply  

25

by  

−

1

.

25

x

−

25

=

25

x

−

25

Move all terms containing  

x

to the left side of the equation.

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Subtract  

25

x

from both sides of the equation.

25

x

−

25

−

25

x

=

−

25

Combine the opposite terms in  

25

x

−

25

−

25

x

.

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Subtract  

25

x

from  

25

x

.

0

−

25

=

−

25

Subtract  

25

from  

0

.

−

25

=

−

25

Since  

−

25

=

−

25

, the equation will always be true for any value of  

x

.

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

(

−

∞

,

∞

)

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .