9(x-3)(x+3)=3x(x-3)(x-3)

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Solution for 9(x-3)(x+3)=3x(x-3)(x-3) equation: 


Simplifying
9(x + -3)(x + 3) = 3x(x + -3)(x + -3)

Reorder the terms:
9(-3 + x)(x + 3) = 3x(x + -3)(x + -3)

Reorder the terms:
9(-3 + x)(3 + x) = 3x(x + -3)(x + -3)

Multiply (-3 + x) * (3 + x)
9(-3(3 + x) + x(3 + x)) = 3x(x + -3)(x + -3)
9((3 * -3 + x * -3) + x(3 + x)) = 3x(x + -3)(x + -3)
9((-9 + -3x) + x(3 + x)) = 3x(x + -3)(x + -3)
9(-9 + -3x + (3 * x + x * x)) = 3x(x + -3)(x + -3)
9(-9 + -3x + (3x + x2)) = 3x(x + -3)(x + -3)

Combine like terms: -3x + 3x = 0
9(-9 + 0 + x2) = 3x(x + -3)(x + -3)
9(-9 + x2) = 3x(x + -3)(x + -3)
(-9 * 9 + x2 * 9) = 3x(x + -3)(x + -3)
(-81 + 9x2) = 3x(x + -3)(x + -3)

Reorder the terms:
-81 + 9x2 = 3x(-3 + x)(x + -3)

Reorder the terms:
-81 + 9x2 = 3x(-3 + x)(-3 + x)

Multiply (-3 + x) * (-3 + x)
-81 + 9x2 = 3x(-3(-3 + x) + x(-3 + x))
-81 + 9x2 = 3x((-3 * -3 + x * -3) + x(-3 + x))
-81 + 9x2 = 3x((9 + -3x) + x(-3 + x))
-81 + 9x2 = 3x(9 + -3x + (-3 * x + x * x))
-81 + 9x2 = 3x(9 + -3x + (-3x + x2))

Combine like terms: -3x + -3x = -6x
-81 + 9x2 = 3x(9 + -6x + x2)
-81 + 9x2 = (9 * 3x + -6x * 3x + x2 * 3x)
-81 + 9x2 = (27x + -18x2 + 3x3)

Solving
-81 + 9x2 = 27x + -18x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-81 + -27x + 9x2 + 18x2 + -3x3 = 27x + -18x2 + 3x3 + -27x + 18x2 + -3x3

Combine like terms: 9x2 + 18x2 = 27x2
-81 + -27x + 27x2 + -3x3 = 27x + -18x2 + 3x3 + -27x + 18x2 + -3x3

Reorder the terms:
-81 + -27x + 27x2 + -3x3 = 27x + -27x + -18x2 + 18x2 + 3x3 + -3x3

Combine like terms: 27x + -27x = 0
-81 + -27x + 27x2 + -3x3 = 0 + -18x2 + 18x2 + 3x3 + -3x3
-81 + -27x + 27x2 + -3x3 = -18x2 + 18x2 + 3x3 + -3x3

Combine like terms: -18x2 + 18x2 = 0
-81 + -27x + 27x2 + -3x3 = 0 + 3x3 + -3x3
-81 + -27x + 27x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-81 + -27x + 27x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-27 + -9x + 9x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-27 + -9x + 9x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-27 + -9x + 9x2 + -1x3 = 0

Solving
-27 + -9x + 9x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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