0=4x^2-x^3

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


Simplifying
0 = 4x2 + -1x3

Solving
0 = 4x2 + -1x3

Solving for variable 'x'.
Remove the zero:
-4x2 + x3 = 4x2 + -1x3 + -4x2 + x3

Reorder the terms:
-4x2 + x3 = 4x2 + -4x2 + -1x3 + x3

Combine like terms: 4x2 + -4x2 = 0
-4x2 + x3 = 0 + -1x3 + x3
-4x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-4x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-4 + x) = 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4

Solution

x = {0, 4}

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