9x*9x*9x-16x=0

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Solution for 9x*9x*9x-16x=0 equation:


Simplifying
9x * 9x * 9x + -16x = 0

Reorder the terms for easier multiplication:
9 * 9 * 9x * x * x + -16x = 0

Multiply 9 * 9
81 * 9x * x * x + -16x = 0

Multiply 81 * 9
729x * x * x + -16x = 0

Multiply x * x
729x2 * x + -16x = 0

Multiply x2 * x
729x3 + -16x = 0

Reorder the terms:
-16x + 729x3 = 0

Solving
-16x + 729x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + 729x2) = 0

Factor a difference between two squares.
x((4 + 27x)(-4 + 27x)) = 0

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 '(4 + 27x)' equal to zero and attempt to solve: Simplifying 4 + 27x = 0 Solving 4 + 27x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 27x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 27x = 0 + -4 27x = 0 + -4 Combine like terms: 0 + -4 = -4 27x = -4 Divide each side by '27'. x = -0.1481481481 Simplifying x = -0.1481481481

Subproblem 3

Set the factor '(-4 + 27x)' equal to zero and attempt to solve: Simplifying -4 + 27x = 0 Solving -4 + 27x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 27x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 27x = 0 + 4 27x = 0 + 4 Combine like terms: 0 + 4 = 4 27x = 4 Divide each side by '27'. x = 0.1481481481 Simplifying x = 0.1481481481

Solution

x = {0, -0.1481481481, 0.1481481481}

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