Question

9x+(2-3x) = 40 answer is 2​

Answer 1

Answer:

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Answer 2

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Rearrange :

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

x^2-3*x-40-(14)=0

step by step explanation :

STEP 1 :Trying to factor by splitting the middle term

1.1 Factoring x2-3x-54

The first term is, x2 its coefficient is 1 .

The middle term is, -3x its coefficient is -3 .

The last term, "the constant", is -54

Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54

Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -3 .

-54 + 1 = -53

-27 + 2 = -25

-18 + 3 = -15

-9 + 6 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6

x2 - 9x + 6x - 54

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

6 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x+6) • (x-9)

Which is the desired factorization

Equation at the end of step. 1 :

(x + 6) • (x - 9) = 0

Step 2 :Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x+6 = 0

Subtract 6 from both sides of the equation :

x = -6

Solving a Single Variable Equation:

2.3 Solve : x-9 = 0

Add 9 to both sides of the equation :

x = 9

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