18x^2=45x

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Solution for 18x^2=45x equation:


Simplifying
18x2 = 45x

Solving
18x2 = 45x

Solving for variable 'x'.

Reorder the terms:
-45x + 18x2 = 45x + -45x

Combine like terms: 45x + -45x = 0
-45x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-5 + 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 '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5

Solution

x = {0, 2.5}

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