3x^2-9(x^2+3x)=3(x^4)

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Solution for 3x^2-9(x^2+3x)=3(x^4) equation:


Simplifying
3x2 + -9(x2 + 3x) = 3(x4)

Reorder the terms:
3x2 + -9(3x + x2) = 3(x4)
3x2 + (3x * -9 + x2 * -9) = 3(x4)
3x2 + (-27x + -9x2) = 3(x4)

Reorder the terms:
-27x + 3x2 + -9x2 = 3(x4)

Combine like terms: 3x2 + -9x2 = -6x2
-27x + -6x2 = 3(x4)

Solving
-27x + -6x2 = 3x4

Solving for variable 'x'.

Combine like terms: 3x4 + -3x4 = 0
-27x + -6x2 + -3x4 = 0

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(9 + 2x + x3) = 0

Ignore the factor -3.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(9 + 2x + x3)' equal to zero and attempt to solve: Simplifying 9 + 2x + x3 = 0 Solving 9 + 2x + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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