What are the solutions to the equation 3 (x+2) (x-5) = 0?

The awnser is - 6 and 5

Equation at the end of step 1 : (((x-1) • (x+2) • (x-3)) • (x+4)) • (x-5) = 0 Step 2 : Equation at the end of step 2 : ((x-1) • (x+2) • (x-3) • (x+4)) • (x-5) = 0 Step 3 : Equation at the end of step 3 : (x-1) • (x+2) • (x-3) • (x+4) • (x-5) = 0 Step 4 : Equation at the end of step 4 : (x-1) • (x+2) • (x-3) • (x+4) • (x-5) = 0 Step 5 : Theory - Roots of a product:

5.1 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:

5.2 Solve : x-1 = 0

Add 1 to both sides of the equation:

x = 1

Solving a Single Variable Equation:

5.3 Solve : x+2 = 0

Subtract 2 from both sides of the equation:

x = - 2

Solving a Single Variable Equation:

5.4 Solve : x-3 = 0

Add 3 to both sides of the equation:

x = 3

Solving a Single Variable Equation:

5.5 Solve : x+4 = 0

Subtract 4 from both sides of the equation:

x = - 4

Solving a Single Variable Equation:

5.6 Solve : x-5 = 0

Add 5 to both sides of the equation:

x = 5

5 solutions were found : x = 5 x = - 4 x = 3 x = - 2 x =