0=32x-3x^2

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Solution for 0=32x-3x^2 equation:


Simplifying
0 = 32x + -3x2

Solving
0 = 32x + -3x2

Solving for variable 'x'.
Remove the zero:
-32x + 3x2 = 32x + -3x2 + -32x + 3x2

Reorder the terms:
-32x + 3x2 = 32x + -32x + -3x2 + 3x2

Combine like terms: 32x + -32x = 0
-32x + 3x2 = 0 + -3x2 + 3x2
-32x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-32x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + 3x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-32 + 3x)' equal to zero and attempt to solve: Simplifying -32 + 3x = 0 Solving -32 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 3x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = 0 + 32 3x = 0 + 32 Combine like terms: 0 + 32 = 32 3x = 32 Divide each side by '3'. x = 10.66666667 Simplifying x = 10.66666667

Solution

x = {0, 10.66666667}

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