Find the solutions (s) to 9x^2-54x=0

Two solutions were found:

x = 6

x = 0

Step-by-step explanation:

Reformatting the input:

Changes made to your input should not affect the solution:

(1) : "x2" was replaced by "x^2".

Step by step solution:

Step 1:

Equation at the end of step 1:

32x2 - 54x = 0

Step 2:

Step 3:

Pulling out like terms:

3.1 Pull out like factors:

9x2 - 54x = 9x • (x - 6)

Equation at the end of step 3:

9x • (x - 6) = 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 : 9x = 0

Divide both sides of the equation by 9:

x = 0

Solving a Single Variable Equation:

4.3 Solve : x-6 = 0

Add 6 to both sides of the equation:

x = 6