18x^2=27x

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Solution for 18x^2=27x equation:


Simplifying
18x2 = 27x

Solving
18x2 = 27x

Solving for variable 'x'.

Reorder the terms:
-27x + 18x2 = 27x + -27x

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

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

Ignore the factor 9.

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 '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5

Solution

x = {0, 1.5}

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