0=36x^2-24x

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Solution for 0=36x^2-24x equation:


Simplifying
0 = 36x2 + -24x

Reorder the terms:
0 = -24x + 36x2

Solving
0 = -24x + 36x2

Solving for variable 'x'.
Remove the zero:
24x + -36x2 = -24x + 36x2 + 24x + -36x2

Reorder the terms:
24x + -36x2 = -24x + 24x + 36x2 + -36x2

Combine like terms: -24x + 24x = 0
24x + -36x2 = 0 + 36x2 + -36x2
24x + -36x2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
24x + -36x2 = 0

Factor out the Greatest Common Factor (GCF), '12x'.
12x(2 + -3x) = 0

Ignore the factor 12.

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 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {0, 0.6666666667}

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