81x*x=24x

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Solution for 81x*x=24x equation:


Simplifying
81x * x = 24x

Multiply x * x
81x2 = 24x

Solving
81x2 = 24x

Solving for variable 'x'.

Reorder the terms:
-24x + 81x2 = 24x + -24x

Combine like terms: 24x + -24x = 0
-24x + 81x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-8 + 27x) = 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 '(-8 + 27x)' equal to zero and attempt to solve:

Simplifying
-8 + 27x = 0

Solving
-8 + 27x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + 27x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 27x = 0 + 8
27x = 0 + 8

Combine like terms: 0 + 8 = 8
27x = 8

Divide each side by '27'.
x = 0.2962962963

Simplifying
x = 0.2962962963
Solution
x = {0, 0.2962962963}

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