0=3x^2-18x

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Solution for 0=3x^2-18x equation:


Simplifying
0 = 3x2 + -18x

Reorder the terms:
0 = -18x + 3x2

Solving
0 = -18x + 3x2

Solving for variable 'x'.
Remove the zero:
18x + -3x2 = -18x + 3x2 + 18x + -3x2

Reorder the terms:
18x + -3x2 = -18x + 18x + 3x2 + -3x2

Combine like terms: -18x + 18x = 0
18x + -3x2 = 0 + 3x2 + -3x2
18x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
18x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(6 + -1x) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {0, 6}

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