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24 June, 01:09

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

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Answers (1)
  1. 24 June, 05:03
    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
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