Question

4x+78+4+89x
5x+8=45
67x-778.


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Answer 1

Simplifying

4x + 5x + -8 = 37

Reorder the terms:

-8 + 4x + 5x = 37

Combine like terms: 4x + 5x = 9x

-8 + 9x = 37

Solving

-8 + 9x = 37

Solving for variable 'x'.

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

Add '8' to each side of the equation.

-8 + 8 + 9x = 37 + 8

Combine like terms: -8 + 8 = 0

0 + 9x = 37 + 8

9x = 37 + 8

Combine like terms: 37 + 8 = 45

9x = 45

Divide each side by '9'.

x = 5

Simplifying

x = 5

Answer 2

Answer:

$\huge \mathcal\green{ ANSWER}$

Pull out like factors :

6x2 - 10 = 2 • (3x2 - 5)

Trying to factor as a Difference of Squares:

5.2 Factoring: 3x2 - 5

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 3 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

2 • (3x2 - 5)