0=13x^2-3x^3

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Solution for 0=13x^2-3x^3 equation:


Simplifying
0 = 13x2 + -3x3

Solving
0 = 13x2 + -3x3

Solving for variable 'x'.
Remove the zero:
-13x2 + 3x3 = 13x2 + -3x3 + -13x2 + 3x3

Reorder the terms:
-13x2 + 3x3 = 13x2 + -13x2 + -3x3 + 3x3

Combine like terms: 13x2 + -13x2 = 0
-13x2 + 3x3 = 0 + -3x3 + 3x3
-13x2 + 3x3 = -3x3 + 3x3

Combine like terms: -3x3 + 3x3 = 0
-13x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-13 + 3x) = 0

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 '(-13 + 3x)' equal to zero and attempt to solve: Simplifying -13 + 3x = 0 Solving -13 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 0 + 13 3x = 0 + 13 Combine like terms: 0 + 13 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333

Solution

x = {0, 4.333333333}

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