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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