54x^2=6x

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Solution for 54x^2=6x equation:


Simplifying
54x2 = 6x

Solving
54x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-6x + 54x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-6x + 54x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-1 + 9x) = 0

Ignore the factor 6.

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 '(-1 + 9x)' equal to zero and attempt to solve: Simplifying -1 + 9x = 0 Solving -1 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 0 + 1 9x = 0 + 1 Combine like terms: 0 + 1 = 1 9x = 1 Divide each side by '9'. x = 0.1111111111 Simplifying x = 0.1111111111

Solution

x = {0, 0.1111111111}

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