Question

Solve for x. Write the smaller solution first, and the larger solution second. (2x-1)(x+4)=0 smallerX- largerX-

Answer 1

Answer:

Two solutions were found :

x = -4

x = 1/2 = 0.500

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (2x - 1) • (x + 4)  = 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  :    2x-1 = 0

Add  1  to both sides of the equation :

                     2x = 1

Divide both sides of the equation by 2:

                    x = 1/2 = 0.500

Solving a Single Variable Equation :

2.3      Solve  :    x+4 = 0

Subtract  4  from both sides of the equation :

                     x = -4

Two solutions were found :

x = -4

x = 1/2 = 0.500

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Answer 2

(2x-1)(x+4)=0

If both brackets multiply to make 0, then one or more of them must equal 0. So you just set each bracket to equal 0 and then solve for x :)

2x-1=0

2x=1

x = 1/2

And then the second one:

x+4=0

x=-4

So the smaller x= -4

and the larger x = 1/2