3x^3=3x^2

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


Simplifying
3x3 = 3x2

Solving
3x3 = 3x2

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-1 + x) = 0

Ignore the factor 3.

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 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Solution

x = {0, 1}

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