18x^3=12x^2

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Solution for 18x^3=12x^2 equation:


Simplifying
18x3 = 12x2

Solving
18x3 = 12x2

Solving for variable 'x'.

Reorder the terms:
-12x2 + 18x3 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-12x2 + 18x3 = 0

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(-2 + 3x) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: 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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