6x^2=36x^3

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Solution for 6x^2=36x^3 equation:


Simplifying
6x2 = 36x3

Solving
6x2 = 36x3

Solving for variable 'x'.

Combine like terms: 36x3 + -36x3 = 0
6x2 + -36x3 = 0

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(1 + -6x) = 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 '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667

Solution

x = {0, 0.1666666667}

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