9x^2=18x+0

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Solution for 9x^2=18x+0 equation:


Simplifying
9x2 = 18x + 0

Reorder the terms:
9x2 = 0 + 18x
Remove the zero:
9x2 = 18x

Solving
9x2 = 18x

Solving for variable 'x'.

Reorder the terms:
-18x + 9x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
-18x + 9x2 = 0

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

Solution

x = {0, 2}

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