0=160x-80x^2

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Solution for 0=160x-80x^2 equation:


Simplifying
0 = 160x + -80x2

Solving
0 = 160x + -80x2

Solving for variable 'x'.
Remove the zero:
-160x + 80x2 = 160x + -80x2 + -160x + 80x2

Reorder the terms:
-160x + 80x2 = 160x + -160x + -80x2 + 80x2

Combine like terms: 160x + -160x = 0
-160x + 80x2 = 0 + -80x2 + 80x2
-160x + 80x2 = -80x2 + 80x2

Combine like terms: -80x2 + 80x2 = 0
-160x + 80x2 = 0

Factor out the Greatest Common Factor (GCF), '80x'.
80x(-2 + x) = 0

Ignore the factor 80.

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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Solution

x = {0, 2}

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