<PRE><B>Question 625925</B>
7x^3 - 33x = 30x

Subtract 30x from each side of the equation.

7x^3 - 33x - 30x = 30x - 30x

Combine like terms:

-33x - 30x = -63x

30x - 30x = 0

We now have:

7x^3 - 63 = 0

Factor out the Greatest Common Factor (GCF) = 7x

7x(x^2 - 9) = 0

Factor a difference between two squares.

7x(x + 3)(x - 3) = 0

Ignore the factor 7.


Subproblem 1

Set the factor x equal to zero (0) and attempt to solve:

x = 0


Subproblem 2

Set the factor (x + 3) equal to zero (0) and attempt to solve.

x + 3 = 0

Subtract 3 from each side of the equation.

x + 3 - 3 = 0 - 3

Combine like terms:

3 - 3 = 0

0 - 3 = -3

x = -3


Subproblem 3

Set the factor (x - 3) equal to zero (0) and attempt to solve:

x - 3 = 0

Add 3 to each side of the equation.

x - 3 + 3 = 0 + 3

Combine like terms:

-3 + 3 = 0

0 + 3 = 3

x = 3


Solution:

x (0, -3, 3)




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