0=2x^3-4x^2

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Solution for 0=2x^3-4x^2 equation:


Simplifying
0 = 2x3 + -4x2

Reorder the terms:
0 = -4x2 + 2x3

Solving
0 = -4x2 + 2x3

Solving for variable 'x'.
Remove the zero:
4x2 + -2x3 = -4x2 + 2x3 + 4x2 + -2x3

Reorder the terms:
4x2 + -2x3 = -4x2 + 4x2 + 2x3 + -2x3

Combine like terms: -4x2 + 4x2 = 0
4x2 + -2x3 = 0 + 2x3 + -2x3
4x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
4x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(2 + -1x) = 0

Ignore the factor 2.

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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0, 2}

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