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Solve the equation

Solve the equation-example-1
User ManuelH
by
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1 Answer

1 vote

Answer:

The answer shoule be C.

Explanation:

Step 1 :

Equation at the end of step 1 :

(2q • (q + 9) • 2) • (6q - 5) = 0

Step 2 :

Equation at the end of step 2 :

4q • (q + 9) • (6q - 5) = 0

Step 3 :

Equation at the end of step 3 :

4q • (q + 9) • (6q - 5) = 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 : 4q = 0

Divide both sides of the equation by 4:

q = 0

Solving a Single Variable Equation :

4.3 Solve : q+9 = 0

Subtract 9 from both sides of the equation :

q = -9

Solving a Single Variable Equation :

4.4 Solve : 6q-5 = 0

Add 5 to both sides of the equation :

6q = 5

Divide both sides of the equation by 6:

q = 5/6 = 0.833

User Matt Zeunert
by
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