What are the solutions of 3(x – 4)(2x – 3) = 0? Check all that apply.

A. -3
B. 3/2
C. -2/3
D. 4
E. 3
F. -4

Two solutions were found :

x = 3/2 = 1.500

x = 4

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 3 • (x - 4) • (2x - 3)  = 0

Step  2  :

Equation at the end of step  2  :

 3 • (x - 4) • (2x - 3)  = 0

Step  3  :

Theory - Roots of a product :

3.1    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.

Equations which are never true :

3.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

3.3      Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

Solving a Single Variable Equation :

3.4      Solve  :    2x-3 = 0

Add  3  to both sides of the equation :

                     2x = 3

Divide both sides of the equation by 2:

                    x = 3/2 = 1.500

Two solutions were found :

x = 3/2 = 1.500

x = 4

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the answer will be 3/2 and 4 :)

Step-by-step explanation:

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step-by-step explanation:

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step-by-step explanation: