Question

Find Product of : 2w × (3w+4)​

Answer 1

Step-by-step explanation:

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

2*w*(3*w+4)-(-3*w-4)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

2w • (3w + 4) - (-3w - 4) = 0

STEP

2

:

Pulling out like terms

2.1 Pull out 3w+4

Note that -3w-4 =(-1)• 3w+4

After pulling out, we are left with :

(3w+4) • ( 2w * (-1) +( (-1) ))

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

-2w - 1 = -1 • (2w + 1)

Equation at the end of step

3

:

(-3w - 4) • (2w + 1) = 0

STEP

4

:

Theory - Roots of a product

4.1 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:

4.2 Solve : -3w-4 = 0

Add 4 to both sides of the equation :

-3w = 4

Multiply both sides of the equation by (-1) : 3w = -4

Divide both sides of the equation by 3:

w = -4/3 = -1.333

Solving a Single Variable Equation:

4.3 Solve : 2w+1 = 0

Subtract 1 from both sides of the equation :

2w = -1

Divide both sides of the equation by 2:

w = -1/2 = -0.500

Two solutions were found :

w = -1/2 = -0.500

w = -4/3 = -1.333